A Method to Determine the Most Suitable Initial Conditions of Chaotic Map in Statistical Randomness Applications

Açikkapi, Mehmet Şahin; Özkaynak, Fatih

doi:10.1109/access.2020.3046470

Cited by 20 publications

(8 citation statements)

References 62 publications

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“…A similar study was conducted by Jiang et al [27] for chaotic systems. Açıkkapı and Özkaynak [28] showed how different initial conditions can be determined by presenting an approach with a simpler structure compared to the optimization algorithms. Using the approaches suggested in these studies, an ideal entropy pool was formed by obtaining many different initial conditions.…”

Section: Contribution Of Proposed Methodsmentioning

confidence: 99%

“…Other initial conditions that can be used to feed the entropy pool are not shared, because they are covered by the patent application and there are a large number of them. References [26,28] can be examined in detail for alternative initial conditions for use in practical applications. The corresponding author can be contacted for initial conditions that can be selected for commercial or more professional needs.…”

Section: Contribution Of Proposed Methodsmentioning

confidence: 99%

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SIEA: Secure Image Encryption Algorithm Based on Chaotic Systems Optimization Algorithms and PUFs

Muhammad

Özkaynak

2021

Symmetry

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One of the general problems in modern digital society is undoubtedly the information security topic. It is critical to ensure the security of information transferred, processed, and stored throughout digital channels. Among this information, digital images draw attention in terms of frequency of use in digital channels. In this study, a new image encryption algorithm is proposed to address the security problems of digital images. The aspect that differentiates the proposed algorithm from thousands of image encryption algorithms in the literature is that it is designed within the framework of the provable security design principle. The provable security design approach has ensured that the proposed algorithm is theoretically secure with mathematical proof techniques. In addition to addressing the proposed architecture security concerns, the hybrid random number generator used as the key generator constitutes another unique aspect. This generator, which was designed using chaotic systems, physical unclonable functions, and optimization algorithms, stands out as the innovative aspect of the study. The statistical randomness properties of the proposed random number generator were tested using the NIST SP 800-22 Statistical Test Suite. Successful results were obtained for 15 tests in the test package. In addition, the success of these outputs was tested on a new image encryption algorithm. The security of the proposed algorithm was tested from different angles using various experimental analyzes and a 12-step provable security analysis roadmap. Successful analysis results and performance measurements indicate that the proposed cryptographic components can be used in many information security applications and many future designs.

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Section: Contribution Of Proposed Methodsmentioning

confidence: 99%

Section: Contribution Of Proposed Methodsmentioning

confidence: 99%

SIEA: Secure Image Encryption Algorithm Based on Chaotic Systems Optimization Algorithms and PUFs

Muhammad

Özkaynak

2021

Symmetry

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“…14. NIST Test Suite Analysis [3,6,10,17] [5,14]: The MSSIM is an indicator that measures the degree of similarity between two images from three levels: brightness, contrast, and structure. The range of MSSIM values is 0 -1.…”

Section: ) Issuesmentioning

confidence: 99%

“…Obtaining different initial conditions that will meet the statistical requirements is important in terms of generating different random number sequences. [3] The design problem in chaos-based random number generators is that there are an infinite number of possibilities to select initial conditions. This design problem is inherently an NP problem.…”

Section: [I] Introductionmentioning

confidence: 99%

“…In order to determine the initial conditions, an algorithm that updates the initial conditions depending on the number of successful statistical tests is to be design. In article [3], a method that attempts to solve the success achieved with optimization algorithms using a simpler method is designed, discussed, experimented and analyzed.…”

Section: [I] Introductionmentioning

confidence: 99%

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Review of Image Security approaches: Concepts, Issues, Challenges and Applications

Radke¹,

Mishra²

2021

JUSST

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Currently, digital images are widely used in different applications to represent distinguishable contents. Also, diagnosing diseases using medical images became vital and crucial and if the data in these images are liable for unauthorized usage, this may lead to severe problems. The security of these data has become an urgent and serious problem and needs immediate attention. Traditional encryption and decryption algorithms are not sufficient to secure digital images. Especially, image encryption and decryption algorithms are needed. Securing image data with effective encryption approaches can be more useful for applications. This article aims to comparatively study the different digital image encryption algorithms. In the current Pandemic scenario of COVID-19, the variety of research work can be communicated through the encrypted images among researchers to avoid the leakage of information. These image encryption algorithms are having applications to secure image data and store and share them in the network environments.

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The Effects of Knowledge Extraction Approaches on Cryptanalysis Studies and Analysis of the Success of Chaos-Based Countermeasures

Bürhan

Özkaynak

2022

Computational Intelligence and Mathematics for Tackling Complex Problems 4

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A Method to Determine the Most Suitable Initial Conditions of Chaotic Map in Statistical Randomness Applications

Cited by 20 publications

References 62 publications

SIEA: Secure Image Encryption Algorithm Based on Chaotic Systems Optimization Algorithms and PUFs

SIEA: Secure Image Encryption Algorithm Based on Chaotic Systems Optimization Algorithms and PUFs

Review of Image Security approaches: Concepts, Issues, Challenges and Applications

The Effects of Knowledge Extraction Approaches on Cryptanalysis Studies and Analysis of the Success of Chaos-Based Countermeasures

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