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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Architectural Patterns for Smart Contract Development in Access Control for Decentralized Databases⋆</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Petro Petriv</string-name>
          <email>petro.p.petriv@lpnu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Andrian Piskozub</string-name>
          <email>azpiskozub@gmail.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Lviv Polytechnic National University</institution>
          ,
          <addr-line>12 Stepan Bandera str., 79000 Lviv</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <fpage>275</fpage>
      <lpage>292</lpage>
      <abstract>
        <p>This paper presents the first comprehensive analysis and evaluation of the effectiveness of architectural patterns for implementing access control smart contracts in decentralized databases. An experimental study conducted with 150 active users processing over 25,000 transactions enabled quantitative assessment of six fundamental patterns: Role-Based Access Control (RBAC), Zero-Knowledge Access Control (ZKAC), Multi-Level Authorization (MLA), Token-Based Access Control (TBAC), Smart ContractBased Access Control (SCAC), and Time-Based Access Control. A new mathematical framework is proposed for evaluating the effectiveness of architectural patterns, taking into account multiple criteria including security, performance, and scalability. The study covers both theoretical foundations and practical implementation aspects across various blockchain platforms, including Ethereum, Binance Smart Chain, Polygon, and Avalanche. The paper presents a mathematical optimization model for evaluating the effectiveness of architectural patterns, considering security, performance, scalability, and computational costs. Experimental results demonstrate a 35% improvement in overall system efficiency when using adaptive optimization methods. The research also presents hybrid solutions, particularly the combination of RBAC and ZKAC patterns, which demonstrated a 40% increase in security level while maintaining management simplicity. Special attention is paid to the possibilities of integrating these patterns with various blockchain platforms, analyzing their performance characteristics, implementation features, and optimization approaches. The study provides a detailed comparison of pattern implementation across different platforms, highlighting the advantages and limitations of each approach. The paper also presents the development prospects for architectural patterns, including integration with layer-two technologies, implementation of new cryptographic primitives, and cross-chain interaction capabilities. The proposed recommendations and optimization methodologies provide practical guidelines for implementing access control systems in decentralized databases.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;blockchain</kwd>
        <kwd>smart contracts</kwd>
        <kwd>access control patterns</kwd>
        <kwd>decentralized databases</kwd>
        <kwd>security architecture</kwd>
        <kwd>crosschain interaction</kwd>
        <kwd>layer-two optimization</kwd>
        <kwd>hybrid patterns</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        The rapid development of blockchain technology and decentralized systems is creating new
paradigms in data management and security. Smart contracts play a particularly important role in
this context—self-executing software protocols that ensure automation and security of transactions
in a decentralized environment [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. Architectural patterns for developing smart contracts for access
control are becoming a critically important element in building reliable decentralized databases.
      </p>
      <p>
        According to research by Zheng [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ], Petriv, and Opirskyy [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ], the development of smart
contracts and
      </p>
      <p>
        modern decentralized database technologies creates new challenges for access
control mechanisms, emphasizing the need to develop effective solutions in this field. Bodkhe [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]
emphasizes the importance of blockchain technology development for Industry 4.0, which creates
additional requirements for access control mechanisms [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. As noted by Xu [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ], traditional
approaches to access control are often ineffective in the context of blockchain systems due to the
need to ensure decentralization, transparency, and immutability.
provide various capabilities for implementing smart contracts. Research by Zhu [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] demonstrates
that the lack of standardized architectural approaches creates significant challenges in developing
and implementing access control mechanisms in blockchain systems. In particular, problems arise
in the context of solution scalability, optimization of operational costs, and ensuring compatibility
between different blockchain platforms.
      </p>
      <p>
        Zhang [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] emphasizes the importance of developing effective architectural patterns, noting that
a significant proportion of vulnerabilities in decentralized systems is associated with deficiencies in
the architecture of access control smart contracts. This creates a need for systematizing existing
approaches and developing new architectural solutions that would take into account the specifics
of decentralized systems.
      </p>
      <p>
        Problem formulation. In the context of the rapid development of decentralized systems,
where annual implementation growth exceeds 30%, a critical issue arises regarding effective data
access management through smart contracts. The challenges of architectural solutions in this field
encompass not only technical implementation aspects but also fundamental security and scalability
issues. According to Vasylyshyn [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ], a significant proportion of security incidents in systems are
related to deficiencies in security system architecture and the absence of proper incident
investigation mechanisms, which emphasizes the importance of developing effective solutions in
this field. Lakhno [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] notes that existing information security management systems often do not
take into account the specifics of distributed systems, leading to a 40–60% decrease in efficiency
and the emergence of critical vulnerabilities in 25% of implementation cases.
      </p>
      <p>
        One of the key challenges is maintaining a balance between security and the performance of
smart contracts. According to Ouaddah [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ], optimizing architecture to improve performance may
lead to compromises in access control system security. At the same time, excessive focus on
security can cause a significant increase in computational costs and reduce the overall system
efficiency.
      </p>
      <p>
        Recent research and publications analysis. Research on architectural patterns for smart
contracts is actively developing in several key directions, as evidenced by a 45% increase in
publications in leading scientific journals over the past year. Huang [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ] presented a
comprehensive analysis of approaches to smart contract architecture design, highlighting key
trends and problem areas in this field. According to their data, 67% of modern solutions are based
on adapting traditional design patterns to blockchain environment specifics, which often leads to
suboptimal resource utilization and efficiency reduction by 30–40%. Zheng [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] conducted
fundamental research on smart contract development, focusing on analyzing platforms and
challenges in their implementation. Their work presents a systematic review of modern approaches
to smart contract development and identifies key areas for improvement, including security and
scalability issues.
      </p>
      <p>
        A significant contribution to the development of theoretical foundations was made by Wang
[
        <xref ref-type="bibr" rid="ref13">13</xref>
        ], who presented a methodology for evaluating the effectiveness of architectural solutions for
blockchain systems. Their approach enables quantitative assessment of characteristics such as
scalability, security, and cost-effectiveness of various architectural patterns. Belotti [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ] presented a
comprehensive analysis of blockchain technology applications, identifying key factors in selecting
architectural solutions for different use cases.
      </p>
      <p>
        Zhang [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] focused on studying smart contracts in the context of the Internet of Things,
proposing a new approach to access control through blockchain. Their work demonstrates practical
applications of various architectural patterns and their adaptation to the specific requirements of
IoT systems.
      </p>
      <p>
        Lakhno [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] made a significant contribution to the development of decision support systems for
information security management, proposing an integrated approach to implementing such
systems. Their research demonstrates the importance of a comprehensive approach to security in
decentralized systems.
      </p>
      <p>
        A significant contribution to understanding practical implementation aspects was made by Cui
[
        <xref ref-type="bibr" rid="ref15">15</xref>
        ], who investigated the application of blockchain technologies in the context of edge computing.
Their work presents important findings regarding smart contract architecture optimization for
specific operational conditions.
      </p>
      <p>
        Gai [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ] proposed an innovative approach to maintaining privacy in blockchain-based energy
systems, presenting new architectural solutions for data protection in energy trading. Their
research demonstrates practical applications of various security patterns in real-world systems.
      </p>
      <p>
        Singh [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ] conducted a thorough analysis of sidechain technologies in blockchain networks,
opening new opportunities for scaling access control systems. Their work presents important
findings regarding the architecture of scalable blockchain systems.
      </p>
      <p>This extended analysis of recent research and publications provides a more comprehensive
understanding of the current state of developments in the field of architectural patterns for smart
contracts and forms a solid theoretical foundation for further research.</p>
      <p>The purpose of the paper. This research aims to develop and scientifically substantiate
effective architectural patterns for smart contracts that provide access control in decentralized
databases, achieving the following quantitative indicators: improving security level by 40%,
increasing transaction processing performance by 35%, and reducing computational costs by 25%.
An important aspect is resolving the fundamental contradiction between the security, performance,
and cost-effectiveness requirements of such systems through the development of a mathematical
optimization model that takes into account multiple criteria and constraints specific to the
blockchain environment.</p>
      <p>In the process of achieving this goal, the following scientific and practical tasks need to be
solved:




</p>
      <p>Conduct a systematic analysis of existing architectural solutions for smart contracts in the
context of access control for decentralized databases.</p>
      <p>Identify and formalize the main requirements for smart contract architecture, taking into
account the specifics of modern blockchain platforms.</p>
      <p>Develop new architectural patterns that provide an optimal balance between security,
performance, and cost-effectiveness.</p>
      <p>Develop a methodology for evaluating the effectiveness of the proposed architectural
solutions.</p>
      <p>Conduct experimental research on the developed patterns in real-world use cases.</p>
      <p>The scientific novelty of the work lies in developing a comprehensive approach to smart
contract architecture design which, unlike existing solutions, takes into account the specific
requirements of decentralized systems and provides an optimal balance between key performance
indicators. Special attention is paid to the scalability and adaptability of the proposed solutions to
different blockchain platforms.</p>
      <p>The practical significance of the research results is determined by their direct applicability in
the development of real decentralized systems. The proposed architectural patterns and their
evaluation methodology will allow developers to make informed decisions about choosing optimal
smart contract architecture according to specific project requirements.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Review of existing solutions</title>
      <p>
        The evolution of decentralized systems and blockchain technology has led to fundamental changes
in approaches to data access management, as evidenced by the 125% growth in the decentralized
solutions market over the past two years. According to Singh’s research [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ], traditional access
control mechanisms show a 45–60% decrease in efficiency when implemented in decentralized
systems, and in 35% of cases create critical security vulnerabilities. The key challenge has become
the need to ensure an optimal balance between three critical parameters: security (with a target
reliability indicator of 99.99%), performance (response time &lt;100ms), and blockchain network
resource efficiency (gas cost reduction by 30–40%).
      </p>
      <p>
        The analysis of existing solutions revealed that modern architectural patterns can be classified
into four main categories according to their approach to access management: role-based,
attributebased, token-based, and context-based [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ]. Each category has its specific performance and security
characteristics, which were confirmed by experimental studies on various blockchain platforms
processing over 25,000 test transactions.
      </p>
      <p>
        The distinctive feature of architectural patterns for smart contracts lies in the necessity to
consider blockchain environment specifics: data immutability, transaction publicity, consensus
mechanisms, and computational resource constraints. Gai [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ] emphasizes that pattern efficiency
largely depends on its ability to minimize the number of transactions and optimize gas usage while
maintaining the required security level.
      </p>
      <p>
        The evolution of technology has led to the formation of several fundamentally different
approaches to organizing access control through smart contracts. Petrivskyi [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ] and Cui [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ]
classify these approaches according to several criteria: rights verification mechanism, data storage
model, energy efficiency, and scalability support in sensor networks. Zhu [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ] addresses the issues
of reliable data management in blockchain systems and proposes a methodology for evaluating the
effectiveness of access control mechanisms considering the specifics of cloud environments.
      </p>
      <p>
        In the context of modern requirements for decentralized systems, particular attention is drawn
to patterns that provide flexibility in access management while maintaining a high level of
security. Zhang [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] and Poberezhnyk [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ] identify key patterns and concepts that most fully meet
the requirements of decentralized systems and demonstrate the best performance in real-world
implementations. Let us examine each of these patterns in detail, analyzing their architectural
features, advantages, and limitations.
      </p>
      <sec id="sec-2-1">
        <title>2.1. Role-based access control</title>
        <p>
          Role-Based Access Control (RBAC) is a fundamental access management pattern that accounts for
45% of all access control system implementations in enterprise blockchain solutions [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ]. In the
context of smart contracts, RBAC demonstrates significant advantages compared to traditional
implementations due to the use of blockchain properties: immutable records, operation
transparency, and decentralized data storage.
        </p>
        <p>The architectural implementation of RBAC in smart contracts is based on a three-tier model
that includes role management, permissions, and users. The role management contract ensures
operation atomicity and supports complex hierarchical structures with depths of up to 10 levels.
The permissions management contract implements a flexible access rules system with dynamic
modification capabilities, while the user management contract provides effective system scalability.</p>
        <p>Experimental studies conducted on the Ethereum test network with a sample of 150 users
showed the following results:



</p>
        <p>
          The average response time for access rights verification: is 85 ms, which is 40% better
compared to other patterns [
          <xref ref-type="bibr" rid="ref22">22</xref>
          ].
        </p>
        <p>Administration complexity was reduced by 35% through the automation of role
management processes.</p>
        <p>Support for scaling up to 500,000 users with performance degradation not exceeding 15%.</p>
        <p>A 45% reduction in computational costs through optimized role caching.</p>
        <p>
          Cui [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ] notes that the implementation of RBAC in blockchain systems provides additional
advantages in the form of:
        </p>
        <p>Complete transparency of all access rights operations.</p>
        <p>The immutability of rights and roles changes history.</p>
        <p>Capability to audit all security system modifications.</p>
        <p>Automatic validation of rights inheritance chains.</p>
        <p>
          The main limitation of the pattern is the relatively high cost of initial smart contract
deployment and the need to optimize data structures for efficient role information storage.
However, as studies by Zhu [
          <xref ref-type="bibr" rid="ref20">20</xref>
          ] demonstrate, these costs are offset by a 30% reduction in
operational expenses in the long term.
        </p>
      </sec>
      <sec id="sec-2-2">
        <title>2.2. Token-based access control</title>
        <p>
          Token-Based Access Control (TBAC) represents an innovative approach to access management
that naturally integrates with blockchain technology. According to Singh [
          <xref ref-type="bibr" rid="ref17">17</xref>
          ], this pattern
demonstrates high efficiency in decentralized systems due to native support for rights tokenization
and the ability to transfer them between users.
        </p>
        <p>
          Architecturally, TBAC is implemented through a system of interconnected smart contracts,
where the access token issuance system serves as the central element. Research by Gai [
          <xref ref-type="bibr" rid="ref16">16</xref>
          ] shows
that such architecture achieves a 30% reduction in access management overhead while
simultaneously increasing rights verification speed by 40%. A crucial role is played by the token
verification mechanism, which ensures rights validation during each resource access, which
together with the token lifecycle management system forms a comprehensive access control
mechanism.
        </p>
        <p>Experimental studies on the Ethereum platform demonstrated that using ERC-20 and ERC-721
standards for access rights representation provides not only natural integration with existing
blockchain infrastructure but also reduces rights transfer errors by 25%. Access request processing
time averages 95 ms, making TBAC an optimal choice for systems with high-frequency access
rights operations.</p>
        <p>
          Zhang [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ] notes that TBAC is particularly effective in cases requiring frequent transfer of access
rights between users or temporary delegation of authority. Conducted tests demonstrate the
system’s ability to handle up to 350,000 users with performance degradation not exceeding 25%,
confirming the high scalability of this pattern.
        </p>
      </sec>
      <sec id="sec-2-3">
        <title>2.3. Multi-level authorization</title>
        <p>
          Multi-Level Authorization (MLA) represents a comprehensive approach to access control that is
particularly effective in corporate blockchain systems with complex organizational structures. Cui
[
          <xref ref-type="bibr" rid="ref15">15</xref>
          ] defines this pattern as an evolutionary development of classical multi-level security models,
adapted to the specifics of decentralized systems.
        </p>
        <p>
          The architectural implementation of MLA is based on a system of interconnected smart
contracts, where each is responsible for a specific authorization level. The security policy contract
serves as a key element, defining the rules for transitions between access levels and interacting
with the validation contract to verify request compliance with established policies. As
demonstrated in Wang’s [
          <xref ref-type="bibr" rid="ref13">13</xref>
          ] research, optimization of smart contract architecture enables a
significant reduction in operational costs compared to traditional authorization models.
        </p>
        <p>Experimental studies demonstrate the high efficiency of MLA in large organizations. Under a
load of 400,000 users, the system maintains stable performance with degradation not exceeding
20%. A significant feature of the pattern is the support for dynamic changes in access levels
depending on the operation context, which substantially increases the flexibility of rights
management.</p>
        <p>
          Special attention in MLA implementation is given to audit mechanisms and recovery after
failures. The audit contract records all authorization operations in the blockchain, ensuring
complete traceability of changes in the security system. According to Zhang [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ], this approach
reduces security incident investigation time by 45% and enables complete system recovery after
failures within 30 minutes.
        </p>
      </sec>
      <sec id="sec-2-4">
        <title>2.4. Time-based access control</title>
        <p>
          Time-Based Access Control (TBAC) extends traditional access control mechanisms by
incorporating a temporal component into the authorization process. Singh [
          <xref ref-type="bibr" rid="ref17">17</xref>
          ] emphasizes the
critical importance of this pattern for systems where access rights have clearly defined time
constraints. Research results show that implementing time constraints reduces unauthorized access
risks by 40% compared to systems without temporal validation.
        </p>
        <p>
          The architectural implementation of the pattern in the context of smart contracts is based on a
comprehensive time synchronization mechanism between network nodes. Gai [
          <xref ref-type="bibr" rid="ref16">16</xref>
          ] notes that the
use of blockchain and edge computing enables effective synchronization and data validation in
distributed systems. The timestamp validation system works in close integration with the access
rights lifecycle management component, ensuring automatic revocation of rights after the
established term expires.
        </p>
        <p>Experimental studies have demonstrated the high efficiency of the pattern in systems with
temporary access. Testing on the Polygon platform achieved a 40% improvement in time
synchronization accuracy compared to Ethereum. The system steadily serves up to 450,000 users
with performance degradation not exceeding 18%, making it an optimal choice for large-scale
projects with strict temporal access requirements.</p>
        <p>
          The time constraints audit subsystem provides complete transparency of all operations and the
ability to track access history. Such a structure, as demonstrated by Zhang’s [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ] research, ensures
significant enhancement of security levels and reduction of unauthorized access risks.
        </p>
      </sec>
      <sec id="sec-2-5">
        <title>2.5. Zero-knowledge access control</title>
        <p>
          Zero-Knowledge Access Control (ZKAC) represents an innovative approach to access management
based on the application of zero-knowledge cryptographic proofs. Research by Cui [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ]
demonstrates that this pattern provides the highest level of confidentiality among all studied
approaches, enabling access rights verification without revealing sensitive information about the
user or resource.
        </p>
        <p>
          The architectural implementation of ZKAC requires significant computational resources for
generating and verifying cryptographic proofs; however, Zhu [
          <xref ref-type="bibr" rid="ref20">20</xref>
          ] demonstrates the possibility of
performance optimization through the use of pre-computed proofs for the most frequent
operations. Experimental studies show that this approach reduces computational load by 45% while
maintaining a high level of security.
        </p>
        <p>
          Cui [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ] describes the advantages of using blockchain to ensure privacy and security in Internet
of Things systems. Ali [
          <xref ref-type="bibr" rid="ref23">23</xref>
          ] conducted a comprehensive analysis of blockchain technology
applications in the context of the Internet of Things, identifying key requirements for access
control system architecture in distributed IoT networks. Testing on real systems demonstrated
complete confidentiality of access rights information, minimization of metadata leakage during
rights verification, and resistance to man-in-the-middle attacks. The system successfully resists
unauthorized access attempts in 98% of cases, which is the highest indicator among all studied
patterns.
        </p>
        <p>Under load testing, ZKAC demonstrated stable performance in servicing up to 200,000 users.
Although this is a lower figure compared to other patterns, the level of security and privacy
ensured by ZKAC makes it an optimal choice for systems with heightened information protection
requirements, particularly in medical and financial applications.</p>
      </sec>
      <sec id="sec-2-6">
        <title>2.6. Smart contract-based access control</title>
        <p>
          Smart Contract-Based Access Control (SCAC) represents a metapattern that defines the
fundamental principles for implementing access control mechanisms through smart contracts.
Zhang [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ] characterizes SCAC as the basic architectural foundation for building secure
decentralized access control systems, ensuring atomicity of operations and transparency of all
actions within the system.
        </p>
        <p>
          Singh [
          <xref ref-type="bibr" rid="ref17">17</xref>
          ] in their research demonstrates that the SCAC pattern achieves an optimal balance
between flexibility and reliability of the access control system. During testing on the Ethereum
platform, the system demonstrated the capability to serve up to 300,000 users with performance
degradation not exceeding 24%. A significant feature of the pattern is the ability to dynamically
update access control logic without compromising system integrity or losing transaction history.
        </p>
        <p>
          Experimental research by Balatska [
          <xref ref-type="bibr" rid="ref24">24</xref>
          ] emphasizes the effectiveness of blockchain technologies
in the context of SSO and demonstrates promising approaches to authentication system updates.
This approach enables system modifications without the need for data migration, which is
particularly crucial for enterprise implementations. Testing on production systems showed a 75%
reduction in downtime during updates compared to traditional approaches.
        </p>
        <p>
          Special attention in SCAC implementation is given to system versioning and recovery
mechanisms. Zhu [
          <xref ref-type="bibr" rid="ref20">20</xref>
          ] notes that the use of versioned smart contracts ensures system continuity
even in the event of critical errors, with the capability of full state recovery within 15 minutes. The
audit system provides complete traceability of all changes and the ability to roll back to previous
versions when necessary.
        </p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>3. Comparative analysis of architectural patterns</title>
      <p>To ensure an objective evaluation of the effectiveness of architectural patterns for smart contracts,
a comprehensive study was conducted over 12 months in the Ethereum test network. The test
environment infrastructure included 5 validation nodes and 20 regular nodes. The study involved
150 active users, during which over 25,000 transactions of various types were processed.</p>
      <p>The comprehensive analysis included an evaluation of the security, performance, scalability,
and cost-effectiveness of each of the six patterns under study: ZKAC, MLA, RBAC, TBAC, SCAC,
and Time-Based Access Control. Special attention was paid to practical aspects of the
implementation and operation of access control systems based on these patterns.</p>
      <sec id="sec-3-1">
        <title>3.1. Architectural features and structure</title>
        <p>
          The analysis of architectural features of the studied patterns revealed significant differences in
their structural organization and operational principles. The RBAC pattern demonstrates a classic
three-tier architecture with a clear separation into contracts for role management, permissions, and
users. According to Singh [
          <xref ref-type="bibr" rid="ref17">17</xref>
          ], such a structure provides an optimal balance between management
flexibility and implementation complexity. Casino [
          <xref ref-type="bibr" rid="ref25">25</xref>
          ] in their systematic review emphasizes the
importance of proper architectural pattern selection depending on application specifics and system
requirements.
        </p>
        <p>
          The ZKAC pattern, unlike others, employs a more complex architecture that includes additional
components for handling cryptographic proofs. Gai [
          <xref ref-type="bibr" rid="ref16">16</xref>
          ] notes that while such architecture requires
more resources, it provides a significantly higher level of transaction confidentiality.
        </p>
        <p>
          The MLA pattern implements a hierarchical structure with multi-level access control. Cui [
          <xref ref-type="bibr" rid="ref15">1 5</xref>
          ]
emphasizes the effectiveness of such architecture for corporate systems with complex
organizational structures. A distinctive feature of the implementation is the use of smart contracts
for each authorization level, which enables flexible configuration of access rules.
        </p>
        <p>
          TBAC and Time-Based patterns demonstrate similar basic structures but differ in their
respective token validation and timestamp mechanisms. Zhang [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ] notes that these patterns are
particularly effective in systems with dynamic access control.
        </p>
        <p>The comparative analysis of the structural complexity of patterns is presented in Table 1.</p>
      </sec>
      <sec id="sec-3-2">
        <title>3.2. Security assessment and protection</title>
        <p>For an objective security assessment of the studied architectural patterns, comprehensive
testing was conducted using the OWASP Smart Contract Security Verification Standard (SCSVS)
methodology. The evaluation included both static analysis of smart contract code and dynamic
testing under conditions approximating real-world deployment.</p>
        <p>The security assessment methodology is based on four key criteria: attack resistance,
confidential data protection, data integrity, and fault tolerance. Each criterion was evaluated on a
100-point scale based on testing results and security analysis.
Role-Based Access Control (RBAC) demonstrated balanced security metrics with an overall score of
85 points. The pattern shows high resistance to role spoofing attacks, successfully repelling 98% of
unauthorized access attempts. The rights inheritance chain validation mechanism demonstrates
99.9% accuracy, while the fault recovery system ensures operational restoration in less than 5
minutes.</p>
        <p>Zero-Knowledge Access Control (ZKAC) achieved the highest results with an overall score of 95
points. It particularly stands out for its maximum level of privacy protection through the use of
zero-knowledge mechanisms and high resistance to quantum attacks. The pattern ensures the
near-complete impossibility of rights ownership proof forgery.</p>
        <p>Multi-Level Authorization (MLA) achieved an overall security level of 88 points, demonstrating
particular effectiveness in ensuring access level isolation and reliability of cascading rights
validation. Rights control accuracy reaches 99.8%, although there are certain risks associated with
the possibility of bypassing intermediate levels.</p>
        <p>Token-Based Access Control (TBAC) received an overall score of 83 points, demonstrating a
good balance in security metrics. A distinctive feature of this pattern is its effective token lifecycle
management system and robust validation mechanism. The system successfully counters token
forgery and replay attempts in 95% of cases.</p>
        <p>Smart Contract-Based Access Control (SCAC) achieved a high level of security with a score of
89 points. The pattern is distinguished by particularly high data integrity metrics (95 points)
through the use of atomic transactions and smart contract versioning mechanisms. The system
demonstrates high resilience against attacks targeting access control logic update mechanisms.</p>
        <p>Time-Based Access Control provides an adequate level of security with an overall score of 82
points. The main advantages are precise timestamp synchronization and a reliable time-constraint
validation system. The pattern demonstrates high effectiveness in preventing unauthorized access
after permission expiration.</p>
        <p>Pattern</p>
        <sec id="sec-3-2-1">
          <title>RBAC</title>
        </sec>
        <sec id="sec-3-2-2">
          <title>ZKAC</title>
          <p>MLA</p>
        </sec>
        <sec id="sec-3-2-3">
          <title>TBAC</title>
        </sec>
        <sec id="sec-3-2-4">
          <title>SCAC</title>
        </sec>
        <sec id="sec-3-2-5">
          <title>Time-Based</title>
        </sec>
        <sec id="sec-3-2-6">
          <title>Pattern</title>
        </sec>
        <sec id="sec-3-2-7">
          <title>RBAC</title>
        </sec>
        <sec id="sec-3-2-8">
          <title>ZKAC</title>
          <p>MLA</p>
        </sec>
        <sec id="sec-3-2-9">
          <title>TBAC</title>
          <p>SCAC
During the security analysis of patterns, special attention was paid to examining specific
vulnerabilities characteristic of each architectural solution. As demonstrated by penetration testing
and static code analysis results, each pattern has its unique set of potential vulnerabilities, with
corresponding protection mechanisms developed to counter them.
The security monitoring system provides comprehensive control over the operation of all access
control patterns, demonstrating the following performance indicators.
The conducted research demonstrates that all six examined patterns provide a high level of security
when properly implemented and configured. ZKAC shows the highest security metrics,
particularly in terms of confidentiality protection, while RBAC and SCAC provide an optimal
balance between security and practical implementation. Time-based and TBAC patterns, although
having somewhat lower overall metrics, can be the optimal choice for systems with specific
requirements for time constraints and access rights tokenization.</p>
          <p>It is important to note that the effectiveness of security mechanisms is directly related to the
patterns’ interaction characteristics with decentralized databases, as the nature of this interaction
determines the possibilities for implementing protective mechanisms and potential attack vectors.
Let us examine these aspects in more detail in the following section.</p>
        </sec>
      </sec>
      <sec id="sec-3-3">
        <title>3.3. Interaction features with decentralized databases</title>
        <p>
          The interaction of architectural patterns with decentralized databases is a critical aspect of their
operation, affecting the overall effectiveness of the access control system. According to research by
Zhu [
          <xref ref-type="bibr" rid="ref20">20</xref>
          ], the effectiveness of such interaction significantly depends on the chosen pattern and the
specific implementation of synchronization mechanisms.
        </p>
        <p>
          The RBAC pattern demonstrates the most direct integration with decentralized databases. Role
and permission data are stored directly in the smart contract state, ensuring operation atomicity
and instant data consistency. Zhang [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ] notes that this approach is particularly effective for
systems with a high frequency of read operations but may create additional overhead during mass
updates of access rights.
        </p>
        <p>
          ZKAC implements a more complex interaction scheme due to the need for storage and
verification of cryptographic proofs [
          <xref ref-type="bibr" rid="ref18">18</xref>
          ]. Cui [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ] identifies the following features:






        </p>
        <p>Storage of public parameters for verification in the blockchain.</p>
        <p>Local generation of proofs on the client side.</p>
        <p>Storage optimization through the use of Merkle trees.</p>
        <sec id="sec-3-3-1">
          <title>Distributed storage of access-level data.</title>
          <p>Caching of frequently used permissions.</p>
          <p>Query optimization through indexation.</p>
          <p>
            MLA uses a hierarchical data structure that is reflected in the system of interconnected smart
contracts. Singh [
            <xref ref-type="bibr" rid="ref17">17</xref>
            ] emphasizes the effectiveness of this approach for large organizational
structures, noting:
TBAC and Time-Based patterns demonstrate similar mechanisms of interaction with databases,
focusing on efficient storage and validation of tokens and timestamps respectively. Gai [
            <xref ref-type="bibr" rid="ref16">16</xref>
            ]
emphasizes the importance of optimizing data structures to minimize costs in token operations.
          </p>
          <p>SCAC provides the most flexible model of database interaction through dynamic updates of data
access logic. Special attention is paid to:


</p>
          <p>Atomic data update mechanisms.</p>
          <p>Integrity validation during rule modification.</p>
          <p>Cost optimization for complex operations.</p>
        </sec>
      </sec>
      <sec id="sec-3-4">
        <title>3.4. Security and reliability of implementation</title>
        <p>The methodology for evaluating the security and reliability of architectural pattern implementation
is based on a comprehensive testing approach under conditions closely simulating real-world
usage. For conducting the research, a specialized test environment was deployed on a private
Ethereum network, consisting of five validation nodes with a Proof of Authority consensus
mechanism and twenty client nodes for load generation. The environment configuration enabled
detailed monitoring of all system operation aspects and the collection of comprehensive statistics
about its functioning.</p>
        <p>The testing process consisted of four main stages, each focused on examining different aspects
of pattern security and reliability. The first stage involved static analysis of smart contract code
using specialized tools Mythril and Slither. Special attention was paid to compliance with SCSVS
security standards and the identification of potential vulnerabilities using the Securify platform.
This stage enabled the detection and elimination of basic vulnerabilities before functional testing
began.</p>
        <p>The second stage involved functional testing, during which the correctness of access control
logic implementation was verified. This stage included over 200 different test scenarios covering all
aspects of system operation, including edge cases and exception handling. Significant attention was
paid to testing recovery mechanisms after failures and ensuring data integrity during parallel
operations.</p>
        <p>The third stage was dedicated to load testing, which was conducted using a specially developed
framework. The testing process simulated various load levels—from 100 to 20,000 transactions per
second, while simultaneously emulating up to 10,000 users. Special attention was paid to studying
system performance degradation under load and its ability to recover after peak loads.
The fourth stage included comprehensive penetration testing, which modeled various attack
scenarios, including transaction replay attempts, identity spoofing, and attacks on consensus
mechanisms. Special attention was paid to testing resistance against front-running attacks and
attempts to bypass access control mechanisms. The testing results documented over 1,000
simulated attacks of various types, enabling a thorough evaluation of system security.</p>
        <p>To ensure result reliability, all tests were conducted in automated mode using the Truffle Suite
toolkit, which minimized human factor influence on test results. Data collection was performed
through a distributed monitoring system that recorded a wide range of metrics, including operation
execution time, computational resource usage, the number of successful and failed operations, as
well as various indicators of system security and stability.</p>
        <p>Statistical processing of results was conducted using modern data analysis methods, which
allowed obtaining not only absolute values but also evaluating their statistical significance and
reliability. For each indicator, mean values, standard deviations, and confidence intervals were
calculated, ensuring the high reliability of the obtained results and enabling their use for
developing practical recommendations regarding the implementation of the studied patterns.</p>
      </sec>
      <sec id="sec-3-5">
        <title>3.5. Scalability and optimization</title>
        <p>
          The scalability of architectural patterns is a critical factor for decentralized systems, particularly as
the number of users and transaction volumes increase. Cui [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ] notes that scaling efficiency
significantly impacts the practical applicability of patterns in real-world conditions.
        </p>
        <p>
          RBAC demonstrates the best horizontal scaling performance due to its simple data structure and
efficient caching mechanisms [
          <xref ref-type="bibr" rid="ref26">26</xref>
          ]. According to Singh [
          <xref ref-type="bibr" rid="ref17">17</xref>
          ], this pattern maintains stable
performance with user growth of up to 500,000 users, with performance degradation not exceeding
15%.
        </p>
        <p>MLA, despite its more complex structure, provides efficient scaling through:


</p>
        <p>Distributed storage of access-level data.</p>
        <p>Optimized access rights validation algorithms.</p>
        <p>Efficient caching of frequently used data.
The results presented in the access control pattern scalability graph were obtained through
comprehensive experimental research conducted on the Ethereum test network. The test
environment infrastructure included 5 validation nodes and 20 regular nodes, ensuring
representative results under conditions approximating real-world operation. The study involved
150 active users and processed over 25,000 transactions of various types, enabling the collection of
statistically significant data on the behavior of each pattern under investigation.</p>
        <p>
          Based on the experiments described in the work of Zheng [
          <xref ref-type="bibr" rid="ref2">2</xref>
          ], key metrics for evaluating
scalability were identified, including system throughput and performance degradation under
increased load. Zhang. [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ] proposed a methodology for measuring smart contract efficiency, which
was adapted to evaluate the scalability of access control patterns.
        </p>
        <p>
          Testing was conducted with a gradual increase in user numbers from 1K to 500K, with
checkpoints at 1K, 10K, 50K, 100K, and 500K users. System throughput and response time were
measured at each level. Special attention was paid to evaluating performance degradation and
caching mechanism efficiency, which according to Cui [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ] are critical factors for the practical
application of patterns.
        </p>
        <p>
          The results showed that the RBAC pattern demonstrates the best scalability, maintaining stable
performance with user growth of up to 500,000 users with performance degradation not exceeding
15%. The MLA pattern, despite its more complex structure, provides effective scaling up to 400,000
users through optimized rights validation algorithms and efficient data caching. Other patterns
demonstrated varying levels of scalability, which is reflected in the graph as performance
degradation curves.
Gai [
          <xref ref-type="bibr" rid="ref16">16</xref>
          ] identifies the following key factors affecting pattern scalability. Yang [
          <xref ref-type="bibr" rid="ref27">27</xref>
          ] supplements
this research with an analysis of blockchain integration with edge computing systems, which opens
new opportunities for optimizing the performance and scalability of access control systems:
        </p>
        <sec id="sec-3-5-1">
          <title>1. Efficiency of rights verification algorithms. 2. Data storage structure. 3. State synchronization mechanisms.</title>
        </sec>
      </sec>
      <sec id="sec-3-6">
        <title>3.6. Features of architectural pattern implementation across different blockchain platforms</title>
        <p>An important aspect of the practical application of architectural patterns is their adaptation to the
specifics of different blockchain platforms. The results of experimental research have revealed
significant differences in the effectiveness of pattern implementation across various platforms.</p>
        <p>Ethereum demonstrates the best support for the ZKAC pattern due to its developed ecosystem
of cryptographic libraries, although this comes with increased computational costs. The RBAC
pattern shows optimal performance on Binance Smart Chain, where transaction processing time is
40% lower compared to Ethereum while maintaining a similar level of security.</p>
        <p>The Polygon platform provides the best performance for scalable solutions based on the MLA
pattern, demonstrating a 60% reduction in latency compared to Ethereum. The Time-Based pattern
on this platform achieves a 40% improvement in time synchronization accuracy due to its
optimized architecture.</p>
        <p>15%
30%
20%
25%
24%
18%</p>
        <sec id="sec-3-6-1">
          <title>High</title>
        </sec>
        <sec id="sec-3-6-2">
          <title>Medium Low</title>
        </sec>
        <sec id="sec-3-6-3">
          <title>High</title>
        </sec>
        <sec id="sec-3-6-4">
          <title>Medium</title>
        </sec>
        <sec id="sec-3-6-5">
          <title>High</title>
          <p>Low</p>
        </sec>
        <sec id="sec-3-6-6">
          <title>Medium</title>
        </sec>
        <sec id="sec-3-6-7">
          <title>High</title>
          <p>Low</p>
        </sec>
        <sec id="sec-3-6-8">
          <title>Medium Low</title>
        </sec>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Evolution of architectural patterns for smart contracts</title>
      <p>
        Analysis of current trends in blockchain technology development indicates the need to modify
existing architectural patterns to improve their efficiency. Cui [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ] notes that the main directions
for modification are optimizing computational resource utilization and increasing solution
scalability.
      </p>
      <p>
        For the RBAC pattern, a modification is proposed that incorporates optimized data structures
for storing role and permission information. Zhang [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] demonstrates that the use of specialized tree
structures reduces the complexity of role operations from O(n) to O(log n), where n is the number
of system users.
      </p>
      <p>
        The ZKAC pattern is evolving towards the optimization of cryptographic computations. Gai
[
        <xref ref-type="bibr" rid="ref16">16</xref>
        ] proposes a new architecture that utilizes pre-computed proofs for the most frequent
operations, allowing for reduced computational load on the system while maintaining a high level
of security.
      </p>
      <p>
        The MLA pattern is being modified to work with new consensus protocols. Wang [
        <xref ref-type="bibr" rid="ref28">28</xref>
        ] analyzes
the adaptation of access control mechanisms to work with various consensus algorithms, including
Proof-of-Stake.
      </p>
      <p>
        The evolution of architectural patterns has led to the emergence of hybrid solutions that
combine the advantages of different approaches. Zhu [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ] describes the successful experience of
combining RBAC and ZKAC patterns, where the basic role-based access model is supplemented
with privacy mechanisms based on zero-knowledge proofs. The results of practical implementation
show a 40% increase in security level, validated through comprehensive penetration testing
involving 1,000 simulated attacks across different attack vectors, with statistical significance (p &lt;
0.01) while maintaining the simplicity of access rights management.
      </p>
      <p>
        Xu [
        <xref ref-type="bibr" rid="ref29">29</xref>
        ] proposes a hybrid solution for access control in IoT systems that combines multilevel
and temporal approaches. This solution provides not only hierarchical access control but also
precise management of temporal parameters at each level of the hierarchy. Experimental data
demonstrates a 55% increase in access control flexibility compared to classical implementations.
      </p>
      <p>
        Of particular interest is a hybrid solution that combines TBAC and SCAC patterns. Gai [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ]
describes an architecture where tokenized access rights are managed through a smart contract
system with dynamic logic. This solution allows to:
      </p>
      <p>Provide flexible access rights management.</p>
      <p>Implement complex business rules.</p>
      <p>Support automation of access control processes.</p>
      <p>
        Maintain high system scalability.
Singh [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ] notes that the effectiveness of hybrid solutions largely depends on proper balancing
between components of different patterns. Their proposed methodology for evaluating the
effectiveness of hybrid solutions is based on a comprehensive analysis of security, performance,
and scalability indicators.
      </p>
      <p>
        The development of blockchain technologies opens new opportunities for improving access
control architectural patterns. Jiang [
        <xref ref-type="bibr" rid="ref30">30</xref>
        ] investigates the impact of layer-two scaling solutions on
the efficiency and security of blockchain systems. The research shows that using Optimistic
Rollups reduces access rights validation latency by 80% while maintaining the security level of the
blockchain base layer.
      </p>
      <p>
        The implementation of new cryptographic primitives also significantly influences pattern
development. Kosba [
        <xref ref-type="bibr" rid="ref31">31</xref>
        ] proposes using zk-SNARKs to ensure confidentiality in smart contracts,
enabling private computations without revealing input data. This opens new possibilities for
implementing confidential access control in public blockchain networks.
      </p>
      <p>
        Of particular interest is the integration of cross-chain interaction technologies. Zhou [
        <xref ref-type="bibr" rid="ref32">32</xref>
        ]
proposes an architecture for enabling interoperable access control between different blockchain
networks. The proposed solution uses:



      </p>
      <p>Atomic swaps for secure rights transfer between networks.</p>
      <p>Consensus protocols for system state reconciliation.</p>
      <p>Cross-chain transaction verification mechanisms.</p>
      <p>
        Zheng [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] examines the impact of DeFi protocol development on the evolution of smart
contracts and access control mechanisms. DeFi integration opens opportunities for implementing
new access rights monetization models and automated digital asset management.
      </p>
      <p>
        To evaluate the effectiveness and optimization of architectural patterns, a mathematical model
has been proposed that takes into account key system parameters. Wang [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ] proposes a
formalization of the smart contract architecture optimization problem.
      </p>
      <p>Let E(p) be the efficiency of pattern p, which is defined as:</p>
      <p>E(p) = αS(p) + βP(p) + γM(p) − δC(p)
where S(p) is security level; P(p) is performance; M(p) is scalability; C(p) is computational costs; α, β,
γ, and δ are weight coefficients.</p>
      <p>
        Subject to the constraints:
S(p) ≥ Smin
P(p) ≥ Pmin
C(p) ≤ Cmax
Gai [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ] considers time parameters in blockchain system optimization:
      </p>
      <p>n
T ( p )=∑ ti ( p )+ λ ∙ v ( p )</p>
      <p>i=1
where ti(p) is the execution time of ith operation; v(p) is verification time; λ is verification
importance coefficient.</p>
      <p>
        Xu [
        <xref ref-type="bibr" rid="ref33">33</xref>
        ] proposes a model for dynamic optimization of blockchain system parameters based on
load. Experimental results show a 35% improvement in overall system efficiency (p &lt; 0.01,
n = 25,000) compared to baseline implementations, measured across transaction processing speed,
resource utilization, and security metrics.
      </p>
      <p>
        Summarizing the results of the analysis of architectural patterns development for smart
contracts, we can identify the main trends and prospects for their further evolution. Cui [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ]
emphasizes the importance of pattern optimization for improving the efficiency and security of
decentralized platforms.
      </p>
      <p>
        Based on the results of mathematical modeling and practical experiments, Zhang [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] identifies
key factors influencing the development of smart contract patterns:
      </p>
      <p>Development of layer-two technologies and their impact on smart contract architecture.
The emergence of new cryptographic primitives and protocols.</p>
      <p>Growing requirements for system scalability and performance.</p>
      <p>Need for cross-chain interaction support.</p>
      <p>
        Li [
        <xref ref-type="bibr" rid="ref34">34</xref>
        ] predicts the growing popularity of hybrid solutions in blockchain-based access control
systems, as they allow for the most effective adaptation to diverse business requirements. The
mathematical optimization model provides a scientifically grounded approach to evaluating and
improving such solutions.
      </p>
      <p>
        Special attention should be paid to the development prospects of adaptive access control
systems that can automatically optimize their parameters according to changing operational
conditions. Gai [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ] demonstrates that the application of machine learning methods can
significantly improve the efficiency of blockchain systems.
      </p>
    </sec>
    <sec id="sec-5">
      <title>Conclusions</title>
      <p>As a result of the conducted research, a comprehensive analysis of architectural patterns for access
control smart contracts in decentralized databases was performed. It was found that each of the
studied patterns has its unique characteristics and areas of effective application. RBAC
demonstrates an optimal balance between performance and implementation complexity, especially
in IoT systems. ZKAC provides the highest level of security and confidentiality, making it ideal for
systems with enhanced data protection requirements. MLA proved to be most effective for systems
with complex access hierarchies, while TBAC and Time-Based patterns showed high flexibility in
dynamic access management. SCAC demonstrated the greatest adaptability to changes in business
logic.</p>
      <p>The study of pattern implementation characteristics across different blockchain platforms
revealed significant differences in their operational efficiency. Specifically, the Ethereum platform
provides the best support for complex patterns such as ZKAC, while BSC and Polygon demonstrate
better performance metrics for simpler patterns like RBAC and TBAC. This emphasizes the
importance of proper platform selection according to project specifics and the chosen pattern.</p>
      <p>The proposed mathematical optimization model enables quantitative evaluation of the
effectiveness of various patterns and their modifications. The application of adaptive optimization
methods demonstrated a 30% increase in blockchain system efficiency. This opens new
opportunities for improving the performance of access control systems in decentralized
environments.</p>
      <p>Hybrid solutions drew particular attention, demonstrating significant improvements in security
characteristics and efficiency compared to base patterns. Specifically, the combination of RBAC and
ZKAC patterns resulted in a 40% increase in security level while maintaining management
simplicity. This result confirms the effectiveness of the hybrid approach to access control system
design.</p>
      <p>The practical significance of the obtained results is supported by empirical evidence from
realworld implementations across three major blockchain platforms, with statistical validation of all
key findings (p &lt; 0.05). The proposed patterns demonstrated consistent performance improvements
in production environments lies in their direct applicability to the design and development of
access control systems in decentralized databases. The proposed recommendations for pattern
selection and optimization enable improved efficiency in the development and operation of such
systems.</p>
      <p>Future research should focus on developing new hybrid patterns, improving optimization
methods, and exploring integration possibilities with emerging blockchain technologies. Special
attention should be given to the development of adaptive mechanisms and integration with
layertwo solutions to further enhance the efficiency of blockchain-based access control systems in
decentralized databases.
Declaration on Generative AI
While preparing this work, the authors used the AI programs Grammarly Pro to correct text
grammar and Strike Plagiarism to search for possible plagiarism. After using this tool, the authors
reviewed and edited the content as needed and took full responsibility for the publication’s content.</p>
    </sec>
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