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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>Edge Computing Workshop, April</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>Data security of IoT devices with limited resources: challenges and potential solutions</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Inna Rozlomii</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Andrii Yarmilko</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Serhii Naumenko</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Bohdan Khmelnytsky National University of Cherkasy</institution>
          ,
          <addr-line>81 Shevchenko Blvd., Cherkasy, 18031</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Cherkasy State Technological University</institution>
          ,
          <addr-line>460 Shevchenko Blvd., Cherkasy, 18006</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2024</year>
      </pub-date>
      <volume>5</volume>
      <issue>2024</issue>
      <fpage>0000</fpage>
      <lpage>0001</lpage>
      <abstract>
        <p>Integration of the Internet of Things (IoT) into various application domains not only expands capabilities but also brings forth a multitude of challenges. These challenges revolve around the security of IoT devices, many of which are characterized by limited resources such as memory, power consumption, and computational power. This article examines key challenges associated with ensuring the security of IoT devices and proposes potential solutions and strategies adapted to resource constraints. Emphasis is placed on the development and analysis of lightweight cryptographic algorithms capable of providing robust data protection with minimal resource utilization. Strategies for eficient energy management and memory usage optimization are also discussed, critical for ensuring the stable and uninterrupted operation of IoT devices. The article highlights the necessity of developing adaptive security mechanisms that can efectively respond to dynamic operational conditions and resource constraints. The key importance of continuously updating security mechanisms to adapt to changing conditions and to guard against new and future cyber threats is underscored. In addition to technical aspects, the importance of strategic planning and innovation in IoT security is also illuminated. It is noted that further research and development should focus on creating integrated solutions that combine hardware, software, and managerial aspects to optimize overall eficiency and security of IoT systems. This article contributes to the understanding and resolution of security issues in IoT devices operating under resource constraints. It provides a broad overview of existing challenges and opportunities while suggesting directions for future research and development in this dynamically evolving field.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;IoT</kwd>
        <kwd>limited resources</kwd>
        <kwd>cryptographic algorithms</kwd>
        <kwd>energy eficiency</kwd>
        <kwd>memory management</kwd>
        <kwd>authentication algorithms</kwd>
        <kwd>cyber threats</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        Embedded Internet of Things (IoT) devices are compact, integrated devices embedded in various objects
capable of collecting, processing, and utilizing data, as well as exchanging it over a network without
direct human involvement [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. These devices provide automation and monitoring in various fields,
from household systems to industrial processes, using their own computational resources to perform
their functions [
        <xref ref-type="bibr" rid="ref2 ref3">2, 3</xref>
        ].
      </p>
      <p>
        The significance of embedded IoT devices lies in their ability to add intelligence and functionality
to diferent systems, facilitating data collection, process automation, and productivity enhancement
[
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. They have become an essential element in advancing technologies and the development of the
connected world [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ].
      </p>
      <p>
        However, the security of embedded IoT devices has become a key issue limiting their application [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ].
This problem arises from the imbalance between the potentially high functionality of such devices and
their resource constraints [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. The limited computational power and memory resources of embedded
devices typically complicate the implementation of robust security mechanisms to prevent unauthorized
access to data and control the flow of information processes [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. This poses serious challenges in
ensuring security, as these devices may become targets of external attacks with critical consequences of
both technical and humanitarian-legal nature [
        <xref ref-type="bibr" rid="ref10 ref9">9, 10</xref>
        ].
      </p>
      <p>Overcoming challenges related to the security of embedded IoT devices becomes a critical task in the
context of their widespread integration into our everyday living spaces and industrial environments.
The limited resources of these devices pose not only technical challenges but also serious potential
consequences for user safety and infrastructure security. Failure to address the issue of limited resources
and inadequate protection may lead to uncontrolled widespread access to confidential information,
destruction of critical systems, or even the use of devices for malicious purposes.</p>
      <p>The main security challenges of embedded IoT devices are associated with their inadequate protection
and vulnerability to cyber attacks due to limited support for encryption and authentication, as well as
insuficient capabilities for detecting and responding to potential threats. The aim of this research is to
develop efective cryptographic protection strategies for embedded IoT devices with limited resources.</p>
      <p>In the context of researching the security of embedded IoT devices, it is important to identify
development perspectives aimed at ensuring their security and reliability. The development of efective
cryptographic protection strategies is a key element of this process. Applying modern encryption and
authentication methods will improve the reliability and accountability of embedded devices, providing
a high level of protection in conditions of limited resources.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Related works</title>
      <p>
        There are numerous studies dedicated to the security issues of embedded IoT devices with limited
resources [
        <xref ref-type="bibr" rid="ref11 ref12">11, 12</xref>
        ]. Many of them indicate that the physical constraints of such devices complicate
the implementation of comprehensive security measures and are the primary cause of numerous
vulnerabilities [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ]. In these security studies, the importance of embedded IoT device security has
garnered significant interest due to their crucial role in daily life, industry, and infrastructure. Many
works highlight the fundamental challenge of mismatch between data protection needs and the limited
resources of the devices [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ].
      </p>
      <p>
        Security of embedded IoT devices has been the subject of many works investigating vulnerability
issues related to limited computational capabilities, restricted memory capacity, and limited power
supply [
        <xref ref-type="bibr" rid="ref15 ref16">15, 16</xref>
        ]. These studies have demonstrated that resource constraints impact the efectiveness of
cryptographic protection and authentication processes, making devices vulnerable to external threats.
      </p>
      <p>
        A significant research theme has been cryptographic protection strategies with limited resources
[
        <xref ref-type="bibr" rid="ref17">17</xref>
        ]. Previous research has shown the low eficiency of certain cryptographic methods and proposed
the use of lightweight encryption and authentication methods that require fewer resources [
        <xref ref-type="bibr" rid="ref18 ref19">18, 19</xref>
        ].
However, some studies suggest that lightweight methods may have their own limitations and require
a balance between eficiency and security [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ]. Awareness of these aspects is crucial for developing
optimal cryptographic protection strategies for embedded IoT devices with limited resources.
      </p>
      <p>Further research should focus on efective methods to ensure the security of embedded IoT devices,
considering resource constraints and the requirement for a high level of protection. Emphasizing
eficient authentication and cryptographic mechanisms that take into account limited resources is
identified as a key direction for future scientific research in this area.</p>
    </sec>
    <sec id="sec-3">
      <title>3. Capabilities of embedded devices and their resource limitations</title>
      <p>
        The architecture of embedded IoT devices is presented as the interaction of three main components
[
        <xref ref-type="bibr" rid="ref21">21</xref>
        ]:
1. Sensors and actuators – components that provide data collection and transmission. Sensors
gather information from the environment (temperature, humidity, etc.), while actuators perform
corresponding actions (e.g., turning devices on/of).
2. Data processor is responsible for processing and analyzing the collected data. This can be a
microcontroller or a specialized computing system.
3. Network interface facilitates communication with the external environment through various
network protocols such as Wi-Fi, Bluetooth, LoRa, Zigbee, etc.
The primary functions of embedded IoT devices include [
        <xref ref-type="bibr" rid="ref22">22</xref>
        ]:
1. Data collection – obtaining information from sensors.
2. Data processing – analyzing and processing the acquired data to perform defined tasks.
3. Actuator control – sending signals to actuators to execute specific actions.
      </p>
      <p>
        The typical properties of embedded IoT devices, which form the core spectrum of their functional
and technical advantages, are accompanied by limitations related to deployment platforms and methods
of ensuring autonomy. In general, these limitations encompass the following aspects [
        <xref ref-type="bibr" rid="ref23">23</xref>
        ]:
1. Computational power: Embedded IoT devices have limited capability for complex computations
due to restricted computational power. This may lead to constraints in applying advanced
encryption algorithms and performing computationally intensive operations, reducing the device’s
security level.
2. Memory: The limited memory capacity in embedded devices complicates the storage of a large
amount of data and software. This may result in a reduction of available resources for storing
encryption keys, user data, and other critical elements, increasing vulnerability to attacks.
3. Power supply: mbedded IoT devices are often powered by autonomous energy sources or have
limited power consumption. This limitation in power supply can lead to unforeseen interruptions
in device operation or limit security capabilities, as the device may power of or enter a low-power
mode, reducing its ability to detect and respond to potential threats.
      </p>
      <p>These outlined limitations impact the capabilities of embedded devices in implementing robust
security measures and pose a challenge in ensuring data reliability and protection.</p>
    </sec>
    <sec id="sec-4">
      <title>4. Vulnerabilities of the security systems in embedded IoT devices</title>
      <p>
        One of the key issues in the field of embedded IoT devices is the presence of vulnerabilities that can
be exploited for attacks and security breaches. Securing embedded IoT devices becomes a crucial
task as these devices are used in various life domains, ranging from household systems to critical
infrastructure [
        <xref ref-type="bibr" rid="ref15 ref24 ref25">15, 24, 25</xref>
        ]. However, they also become a heightened focus for cybercriminals due to a
range of vulnerabilities:
1. Inadequate Authentication and Authorization. A low level of authentication can serve as a starting
point for unauthorized access to the device. The absence of robust user identity verification
methods, the use of weak passwords, or simple authorization methods can be entry points for
cyber-attacks. This can occur due to inadequate determination of access rights to device functions
or data. In the absence of authentication, the likelihood of a successful attack on the device can
be described by the following formula:
      </p>
      <p>() =  × 100%,
where  () is the probability of an attack,  is the number of successful attacks,  is the total
number of attack attempts.
2. Insuficient Cryptographic Protection: The use of weak or outdated encryption algorithms in
IoT devices makes data more vulnerable to interception and compromise. If encryption employs
keys of insuficient length or is vulnerable to known attacks, there is a risk of compromising
the confidentiality and integrity of data, as well as threats to their availability. To determine the
efectiveness of encryption, the Shannon encryption model can be utilized:
where  – the channel capacity,  – the signal power,  – the noise level.</p>
      <p>= 2(1 +</p>
      <p>),
3. Insuficient Software Updates: Limited memory in embedded devices can complicate the software
update process. This creates a risk of temporary or permanent vulnerability of the device to
new threats or vulnerabilities, as it may remain without updates to apply security patches or fix
software defects that ensure security.</p>
    </sec>
    <sec id="sec-5">
      <title>5. Security risks of embedded IoT devices</title>
      <p>In the network of embedded IoT devices, ensuring security remains one of the main challenges. This
is particularly crucial due to the limited resources characterizing these devices. Examining memory,
energy consumption, and computational power issues, it can be observed that these aspects serve as
potential security threats.</p>
      <p>The limitation of memory in embedded systems complicates not only data storage but also the
implementation of efective encryption methods. The reduced operational duration due to limited energy
consumption becomes a starting point for potential DoS attacks. Additionally, limited computational
power complicates the application of robust encryption and authentication methods.</p>
      <p>Examining memory, energy consumption, and computational power, we can determine that:
• Memory limitations in embedded devices can lead to bufer overflows and constraints in storing
encryption keys, complicating the cryptographic protection of information.
• Energy supply is a fundamental factor limiting the operational duration of devices and the risk
of potential DoS attacks due to targeted expenditure of limited energy.
• Limited computational power complicates the application of complex encryption algorithms
and may contribute to the execution of malicious code in case of insuficient input data validation.</p>
      <p>The discussed limitations expose risks that need to be carefully considered and adequately addressed
in embedded IoT devices to ensure the reliability, confidentiality, and integrity of the processed data.</p>
      <sec id="sec-5-1">
        <title>5.1. Risks due to limited power consumption</title>
        <p>Limited memory capabilities can cause issues in implementing cryptographic protection for embedded
devices due to bufer overflows and restricted capacity for key storage:
1. Bufer overflow creates the possibility of embedding malicious code or executing code in
vulnerable areas. The result is the emergence of vulnerabilities that can be exploited by attackers. Attacks
leveraging these vulnerabilities may lead to system compromise, unauthorized code execution, or
leakage of sensitive data.
2. As a result of the limited memory capabilities of embedded IoT devices to store encryption keys,
there is a risk of their compromise. This is due to the complexity in the processes of storing and
managing encryption keys, which are critical elements for ensuring data security. Typically, for
system security, it is important to have diverse keys for various encryption tasks. However, due
to limited memory, it may be challenging to provide the necessary volume of unique keys for
data encryption.
3. Key management also becomes a challenge due to limited resources. For information security,
keys need to be eficiently stored, updated, and rotated. However, limited memory can restrict the
capacity for storing and processing key information, complicating their efective management.
Thus, the complex storage and management of keys can serve as a foundation for their compromise.
If keys are not stored or managed properly, it can make them more accessible to attackers or
increase the likelihood of system vulnerabilities to attacks aimed at obtaining these keys.</p>
        <p>Considering the limited memory capabilities of embedded IoT devices, cryptographic protection may
become vulnerable due to bufer overflows and dificulties in storing encryption keys.</p>
      </sec>
      <sec id="sec-5-2">
        <title>5.2. Risks arising from memory limitations</title>
        <p>Energy consumption of an embedded system may be insuficient for the operation of cryptographic
protection, both due to the design features of autonomous IoT module and intentional unauthorized
impact on their power components. Threats related to energy consumption pose a wide range of
security risks for the system:
1. Energy Attacks. Attacks aimed at reducing the energy consumption of IoT devices pose a serious
threat to their normal functioning. These attacks can be implemented by constantly activating
devices, prompting them to consume excessive energy. The consequence of such excessive energy
consumption can be the depletion of the device’s battery, leading to its shutdown or disruption
of normal operation. This can be problematic, especially for devices operating on batteries or
in conditions of limited power supply. Continuous excessive energy consumption can lead to
a decrease in device performance and eficiency, making it more vulnerable to various types of
attacks or limiting security capabilities due to insuficient energy for the normal operation of
protective mechanisms.
2. Interruptions in Operation. Limited charge in an autonomous energy source can cause unforeseen
interruptions in the device’s operation, creating serious security risks. When energy becomes
limited, the device may abruptly shut down or transition into a low-power mode. Such interruptions
in operation can lead to a decrease in the device’s reliability and may be exploited by malicious
actors for attacks. As a result, data being processed or stored in the device at that moment may
be lost or damaged. These unforeseen halts can create a window of opportunity for attacks on
the device or its data, as they may be unavailable for protection or remain unprotected during
such times.
3. Reaction Delays. Limited energy consumption in embedded IoT devices, aimed at energy
conservation, can significantly impact their response time when detecting threats or attacks. This can
lead to delays in identifying anomalies or responding to potential threats in the network. For
energy-saving purposes, a device may operate in a standby mode, during which it is inactive
or does not perform specific operations. In this mode, it may be less responsive to changes or
anomalous situations, as it consumes a minimal amount of energy, afecting its ability to respond
to real-time events. This delay in response can be critical in the case of rapidly evolving threats
or attacks where an immediate response is required to avoid potential consequences. Limited
energy consumption may impede the detection or reaction to such events, increasing the risk to
the security of the system. These delays in detection or response can impact the overall reliability
and security of the device in the face of persistent attacks or threats.
4. Impact on Encryption Algorithms. To ensure the security of IoT device data, encryption algorithms
may be employed. However, in low energy consumption modes, their usage may be restricted,
and less efective algorithms may be selected. This creates a risk of reducing the level of data
protection, as the use of less reliable encryption methods can make data more vulnerable to
attacks by malicious actors. Limited energy consumption can afect the eficiency of encryption
in embedded devices. The compromise between energy savings and encryption eficiency can be
a factor in increasing the vulnerability of devices to potential threats and cyber-attacks. In turn,
the reduction in the level of data protection due to the use of less reliable encryption methods
can complicate the recovery or protection of information in the event of attacks or unauthorized
access to the device.
5. Low battery levels can significantly impact the efectiveness of cryptographic methods used to
protect data. Cryptographic algorithms that demand substantial computational resources may
operate unstably or lose eficiency due to limited energy supply. This can lead to a reduction in
the speed or accuracy of applying cryptographic methods, diminishing the level of data protection.
With low battery charges, a device may lack suficient power to efectively implement complex
encryption algorithms, resulting in increased data processing times or even a decrease in the level
of protection. Such unstable operation of cryptographic methods can compromise the security of
the device, making it more vulnerable to attacks.
6. Recovery after power loss. Restoring the operation of an embedded IoT device to its correct
functional state can be challenging following a power loss. This is because, during sudden
shutdowns or disconnections, the device may lose information about its previous state and
current data. The dificulty or even impossibility of returning to the previous state directly afects
its reliability and functionality.</p>
        <p>Let’s consider the efectiveness of protection against attacks when using an encryption algorithm,
where eficiency is denoted as , the battery level is , and the type of cryptographic methodology is
. One of the possible models of eficiency has the form of a linear function:</p>
        <p>=  ·  +  · ,
where  and  are parameters reflecting the influence of the battery level and the type of cryptographic
methodology, respectively.</p>
        <p>Let’s assume the values of the coeficients are as follows:  = 0.5 and  = 0.8. The battery level ()
varies from 1 to 10, and the cryptographic methodology parameter () can take values of 1 or 2. The
possible values of data protection eficiency (), calculated using model (1) and these parameters, are
presented in table 1.
(3)
(4)</p>
        <p>=  · 2 +  · 2 +  ·  ·  + ,
where , , ,  are coeficients reflecting the interaction of the battery level and the type of cryptographic
methodology on the efectiveness of data protection.</p>
        <p>Models (3), (4) can be supported and refined through experiments, data analysis, and parameter
tuning, taking into account the influence of various factors on the efectiveness of data protection at
specific battery levels and specific types of cryptographic methodologies.</p>
      </sec>
      <sec id="sec-5-3">
        <title>5.3. Risks due to limited computational power</title>
        <p>Cryptographic protection algorithms, in general, are quite complex and resource-intensive in terms of
the computational resources of their technical platform. Therefore, insuficient computational power of
IoT devices has several consequences for their security:
1. Limited capacity for strong encryption application. The incompatibility of the computational
resources of the embedded device with the requirements of strong, computationally complex
encryption algorithms creates a risk of resorting to weaker encryption methods. This limitation
may compel the device to choose less resource-intensive computational methods, which, in turn,
may have lower resistance to cyberattacks.
2. Authentication failure due to resource constraints. Computational limitations can diminish
the suitability of an embedded device for implementing robust identity verification methods,
such as biometric data or complex encryption algorithms, thereby increasing vulnerability to
attacks. Additionally, the limited memory of embedded devices can complicate the storage and
management of authentication-related data, such as passwords, keys, or ciphers. This may lead
to the use of less secure methods for storing identification information or a reduction in the
number of available authentication methods. Therefore, the challenge of implementing proper
authentication in embedded devices is associated with both the potential complexity of
authentication algorithms and ensuring secure processes for storing and managing identity information.
Moreover, the constraint on computational power may negatively impact the authentication
process itself, resulting in the implementation of slower or less reliable authentication processes.
The limited speed of the embedded device in processing authentication requests can make them
less responsive to user requests in real-time or increase response times. Overall, the rejection of
robust authentication methods decreases the device’s level of protection.</p>
      </sec>
    </sec>
    <sec id="sec-6">
      <title>6. Cryptographic models for risk analysis</title>
      <p>
        In the context of security for embedded IoT devices, a key aspect is considering their resource constraints.
These constraints directly impact the efectiveness of implementing security mechanisms and strategies.
It is important to realize that each type of constraint – whether it’s memory, battery charge, or energy
consumption – poses unique challenges and requires specific solutions [
        <xref ref-type="bibr" rid="ref26">26</xref>
        ]. As the analysis shows,
memory, battery charge, and energy consumption constraints significantly influence the cryptographic
protection of information in IoT devices (table 2).
Complicates storage and management of encryption keys. Limits
resources available for access control and authentication.
      </p>
      <p>Creates the risk of unpredictable interruptions in the device’s operation.</p>
      <p>Reduces cryptography eficiency due to low battery charge.</p>
      <p>Leads to a transition to low-power mode, restricting the use of powerful
encryption algorithms. Afects response speed to threats due to standby
mode for energy conservation.</p>
      <p>Memory limitations often impact the device’s ability to store encryption keys and other essential
data, increasing the risk of unauthorized access and information leakage.</p>
      <p>Meanwhile, battery charge limitations may lead to unforeseen disruptions in the device’s operation,
reducing its reliability and the efectiveness of protective mechanisms. Finally, limited energy
consumption can restrict the application of resource-intensive protective algorithms, particularly in the field of
cryptographic security.</p>
      <p>Each of these aspects requires detailed consideration and analysis to ensure efective and adequate
protection for embedded IoT devices.</p>
      <sec id="sec-6-1">
        <title>6.1. Memory constraints</title>
        <p>Memory constraints in IoT devices can pose a significant risk to data security. On one hand, limited
memory can complicate the storage of large amounts of data or complex software algorithms necessary
for efective cryptographic protection. On the other hand, insuficient memory can reduce the eficiency
of key management, which is critically important for ensuring the security of communication processes.
Memory limitations in IoT devices can lead to inadequate storage and management of encryption keys,
increasing vulnerability to attacks.</p>
        <p>The degree of impact of memory constraints on key storage, security management, and system
vulnerabilities is illustrated in the diagram (figure 1). It is based on a conceptual analysis of the impact of
memory constraints on these security aspects of IoT devices. The percentages indicated on the diagram
reflect widely accepted expert estimates in the field of IoT cybersecurity, based on their experience
and analysis of current trends in IoT technology development. These data do not represent specific
quantitative research but rather provide a general understanding of trends in the field.</p>
      </sec>
      <sec id="sec-6-2">
        <title>6.2. Battery charge limitations</title>
        <p>Battery charge limitations in IoT devices can cause disruptions in their operation, especially in critical
situations. This may lead to a failure to perform essential security operations and unauthorized access
to data. Additionally, a low battery charge can limit the efectiveness of encryption and other protective
mechanisms. The limited battery life of IoT devices can result in unexpected shutdowns or reduced
security functionality, increasing the risk of data leaks.</p>
        <p>Let’s define a function that relates the battery charge level to the runtime of security protocols. Let 
be the initial battery charge level, and  be the duration of security algorithm operation in hours. Then:
 =  · ln () + ,
(5)
where  and  are constants based on the energy consumption characteristics of the device.</p>
        <p>The diagram (figure 2) illustrates the impact of battery charge limitations on the activity of security
protocols, the risk of data loss, and the constraints of protective mechanisms. This diagram is developed
based on a qualitative analysis of the efects that battery charge limitations may have on the security
aspects of IoT devices. The percentages on the diagram reflect estimated conclusions derived from
theoretical considerations and expert opinions in this field, emphasizing the importance of considering
energy aspects in the development of protective strategies for IoT. The diagram shows that battery
charge limitations have the most significant impact on the risk of data loss during interruptions in
operation. This underscores the importance of developing energy-eficient solutions to ensure the
reliability and continuity of security functions.</p>
      </sec>
      <sec id="sec-6-3">
        <title>6.3. Limitations on energy consumption</title>
        <p>Limitations on energy consumption in IoT devices can be an obstacle to using resource-intensive
security algorithms, especially in the field of cryptographic protection. This may lead to the selection
of less powerful, and therefore less secure, encryption algorithms. Additionally, limited energy can
slow down the processes of detecting and responding to potential cyber threats. The dificulty of using
complex cryptographic algorithms in IoT devices makes them vulnerable to advanced cyber-attacks.</p>
        <p>Let’s model the eficiency of cryptographic algorithms in relation to energy consumption. Let 
represent the efectiveness of the applied algorithm’s security properties, and  represent energy
consumption. Then, the eficiency of cryptographic algorithms can be described by a polynomial
function:
 = 1 ·  2 + 2 ·  + 3,
(6)
where 1, 2 and 3 are coeficients determined based on the computational capabilities of the device.</p>
        <p>The figure 3 depicts the diagram of the impact of energy consumption constraints on the security of
IoT devices. The data for this diagram were formulated based on expert discussions and an assessment
of potential consequences of limited energy consumption on the protective mechanisms of IoT devices.
The percentage indicators reflect the generalized expert opinion on the importance of this aspect in
the context of the development and application of cryptographic security systems. The diagram shows
that limited energy consumption most significantly afects the selection and efectiveness of secure
algorithms. This emphasizes the need for the development of energy-eficient cryptographic solutions
that can provide an adequate level of security with constrained energy consumption.</p>
      </sec>
    </sec>
    <sec id="sec-7">
      <title>7. Strategies for optimizing security in IoT devices with limited resources</title>
      <p>In the context of ensuring the security of IoT devices, optimizing their limited resources becomes crucial.
This requires an innovative approach that takes into account both technical constraints and security
needs. By focusing on key aspects of such limitations, such as memory, battery charge, and energy
consumption, efective strategies can be developed to enhance the security level of IoT systems.
1. Lightweight Cryptographic Algorithms: Development and use of cryptographic algorithms that
require minimal resources for execution but still provide reliable data protection.
2. Eficient Energy Management Algorithms: Implementation of algorithms that optimize energy
consumption without compromising security can ensure longer device runtime and security
system reliability.
3. Memory Usage Optimization: Development of methods for eficient utilization of limited memory
space, including compact storage of encryption keys and using memory for security functions.
4. Adaptive Security Mechanisms: Creation of security systems capable of adapting to changing
resource constraints to maintain an optimal level of protection in diferent operating conditions.
5. Improvement of Authentication Algorithms: Implementation of efective authentication
algorithms that provide a high level of security with limited computational resources.
6. Secure Communication Protocols: Development of specialized communication protocols for IoT
that are optimized for eficient resource utilization and ensure reliable data protection.</p>
      <p>These strategies form the foundation for ensuring the security of IoT devices operating in
resourceconstrained environments. They enable a balance between security needs and constraints in memory,
energy consumption, and operational resources, providing efective protection against potential threats.</p>
    </sec>
    <sec id="sec-8">
      <title>8. Discussion</title>
      <p>In light of the presented analysis, it is crucial to delve deeper into the discussion of the perspectives
for further research in the field of IoT security with constrained resources. One of the key directions
is the development and implementation of more eficient algorithms that consider the specificity of
IoT devices. This includes not only technical aspects but also taking into account the diversity of
applications of IoT devices in various industries.</p>
      <p>The need for improvement in cryptographic protection methods is evident, especially in the context of
limited memory and computational resources. The development of lightweight yet robust cryptographic
algorithms can be key to enhancing overall security. Additionally, there is a necessity to develop flexible
and adaptive security systems capable of efectively operating under resource constraints and quickly
adapting to new threats and challenges.</p>
      <p>Significant potential lies in research on energy-eficient technologies for IoT devices. Energy is
a critical resource for many IoT systems, so developing methods for eficient energy management
can significantly increase the autonomy and reliability of devices. It is also essential to consider the
interaction between diferent components of IoT systems to optimize overall eficiency and security.</p>
    </sec>
    <sec id="sec-9">
      <title>9. Conclusions</title>
      <p>In the context of ensuring security for IoT devices with limited resources, it is important to recognize
that efective security requires a multidimensional approach. This approach should involve the
integration of technical innovations and strategic planning. Considering the constraints in memory, power
consumption, and computational power, the development of lightweight cryptographic algorithms that
utilize minimal resources becomes a priority to ensure reliable data protection.</p>
      <p>Adapting security systems to the changing operational conditions of IoT devices is another crucial
aspect. Security systems should be flexible, adaptive, and capable of maintaining a high level of security
despite resource limitations. This includes not only technical aspects but also operational resource
management, especially concerning energy and memory.</p>
      <p>Innovations in authentication algorithms and energy-eficient technologies are essential for enhancing
the autonomy and reliability of IoT devices. Further research in these areas should focus on developing
solutions that can eficiently operate under resource constraints while providing reliable protection
against current and future cyber threats.</p>
      <p>Given the rapid advancement of technologies and the constant growth of cyber threats, continuous
updating and adaptation of security mechanisms are integral parts of a security assurance strategy.
Updating security solutions in response to new threats will help maintain a high level of protection
while expanding the possibilities of applying IoT technologies in various domains.
10. Authors contribution
The authors confirm contribution to the paper as follows: study conception and design: I. Rozlomii,
A. Yarmilko; data collection: I. Rozlomii; analysis and interpretation of results: I. Rozlomii, A. Yarmilko,
S. Naumenko; draft manuscript preparation: I. Rozlomii, A. Yarmilko, S. Naumenko. All authors
reviewed the results and approved the final version of the manuscript.</p>
    </sec>
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