A New Chaotic S-Box Generation Method Using Parameter Optimization of One Dimensional Chaotic Maps

Özkaynak, Fatih

doi:10.1109/access.2019.2936447

Cited by 77 publications

(48 citation statements)

References 84 publications

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“…D. Lambić [5] proposed a novel method of S-Box design based on discrete chaotic maps. Tanyildizi and Erkan [6] proposed a chaotic S-Box generation method using parameter optimization of one dimensional chaotic maps. Çavuşoğlu et al [4] proposed a strong s-box generation algorithm based on a chaotic scaled zhongtang system.…”

Section: Introductionmentioning

confidence: 99%

An Efficient Image Encryption Scheme Based on the LSS Chaotic Map and Single S-Box

2020

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This paper presents an efficient and secure chaotic S-Box based image encryption algorithm. Firstly, by cryptanalyzing a multiple chaotic S-Boxes based image encryption algorithm, we successfully cracked the cryptosystem by using chosen-plaintext attack (CPA). Secondly, we put forward a new image encryption scheme based on a novel compound chaotic map and single S-Box. In the new scheme, a novel discrete compound chaotic system, Logistic-Sine system (LSS), is proposed, which has wider chaotic range and better chaotic properties. And a new S-Box is constructed by using LSS, which has satisfactory cryptographic performance. Based on the new S-Box and the chaotic key stream, the new image encryption algorithm is designed, which consist of a round of permutation and two rounds of substitution process. The permutation and substitution key sequences are related to the plaintext image content, this strategy enables the cryptosystem to resist CPA. The simulation results and security analysis verified the effectiveness of the proposed image encryption scheme. Especially, the new scheme has obvious efficiency advantages, showing that it has better application potential in real-time image encryption.

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Section: Introductionmentioning

confidence: 99%

An Efficient Image Encryption Scheme Based on the LSS Chaotic Map and Single S-Box

2020

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“…For example, the input 11110101, equal to f5, is transformed by S c to 5d. The characteristics of S c are summarized in Tables 3 and 4. 1 hill climbing without neighborhood search In [27], Table 5, a summary on the CF-based S-box constructions found in the literature is presented (an updated version of it is to be found in Table 6). We significantly outperform all of them in terms of ACNV and SAC, reaching the optimal SAC value of 0.5.…”

Section: Results Part Imentioning

confidence: 99%

On the Design of Chaos-Based S-Boxes

Dimitrov

2020

IEEE Access

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Substitution boxes (S-boxes) are critical nonlinear elements to achieve cryptanalytic resistance of modern block and stream ciphers. Given their importance, a rich variety of S-box construction strategies exists. In this paper, S-boxes generated by using chaotic functions (CF) are analyzed to measure their actual resistance to linear cryptanalysis. The aforementioned papers emphasize on the average nonlinearity of the S-box coordinates only, ignoring the rest of the S-box components in the process. Thus, the majority of those studies should be re-evaluated. Integrating such S-boxes in a given cryptosystem should be done with a considerable caution. Furthermore, we show that in the context of nonlinearity optimization problem the profit of using chaos structures is negligible. By using two heuristic methods and starting from pseudo-random S-boxes, we repeatedly reached S-boxes, which significantly outperform all previously published CF-based S-boxes, in those cryptographic terms, which the aforementioned papers utilize for comparison. Moreover, we have linked the multi-armed bandit problem to the problem of maximizing an S-box average coordinate nonlinearity value, which further allowed us to reach near-optimal average coordinate nonlinearity values significantly greater than those known in literature.

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“…Thus, the proposed S-box holds excellent nonlinearity performance compared to all competitor S-boxes. It is worth mention the proposed method holds the significant merit over the existing S-box methods previously investigated in [40,42,62,68,70,[78][79][80][81][82][83][84] in terms of nonlinearity performance as minimum NL of 112, maximum NL of 116 and average NL of 114 is achieved with the proposed method. -The SAC score of 0.4978 is quite close to ideal value of 0.5 and have an offset of only 0.0022 which is negligible.…”

Section: F Comparison Analysismentioning

confidence: 91%

Bijective S-Boxes Method Using Improved Chaotic Map-Based Heuristic Search and Algebraic Group Structures

et al. 2020

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This paper presents a hybrid method for the construction of cryptographically strong bijective substitution-boxes by utilizing the merits of chaotic map and algebraic groups. The hybrid method first generates the key-dependent dynamic S-boxes using chaotic heuristic search strategy and then the S-boxes are evolved with the help of potent proposed algebraic group structures. This paper proposes a new improved combination chaotic map to operate initial search strategy. To augment the strength of generated S-boxes, the algebraic group structures are discovered which have the power to improve their cryptographic strength. The performance assessments using standard criterions are rendered to quantify the strengths of proposed bijective S-boxes. The experimental results and comparisons with recent S-box research findings justify the effectiveness and competence of the proposed bijective S-boxes and anticipated hybrid generation method.

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A New Chaotic S-Box Generation Method Using Parameter Optimization of One Dimensional Chaotic Maps

Cited by 77 publications

References 84 publications

An Efficient Image Encryption Scheme Based on the LSS Chaotic Map and Single S-Box

An Efficient Image Encryption Scheme Based on the LSS Chaotic Map and Single S-Box

On the Design of Chaos-Based S-Boxes

Bijective S-Boxes Method Using Improved Chaotic Map-Based Heuristic Search and Algebraic Group Structures

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