S-box design method based on improved one-dimensional discrete chaotic map

Lambić, Dragan

doi:10.1080/24751839.2018.1434723

Cited by 53 publications

(31 citation statements)

References 19 publications

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“…These chaos topographies make chaotic systems as a choice for the development of modern ciphers and many researchers have used chaos in the design of S-boxes. Authors [29][30][31][32][33][34][35][36][37][38][39] suggested S-boxes based on chaotic map and analyzed these along with the other existing S-box design methods. Analyses disclosed that the proposed S-boxes are strong against different attacks and hence suggest their usage in modern block ciphers.…”

Section: Related Workmentioning

confidence: 99%

An Innovative Design of Substitution-Boxes Using Cubic Polynomial Mapping

Zahid

Arshad

2019

Symmetry

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In this paper, we propose to present a novel technique for designing cryptographically strong substitution-boxes using cubic polynomial mapping. The proposed cubic polynomial mapping is proficient to map the input sequence to a strong 8 × 8 S-box meeting the requirements of a bijective function. The use of cubic polynomial maintains the simplicity of S-box construction method and found consistent when compared with other existing S-box techniques used to construct S-boxes. An example proposed S-box is obtained which is analytically evaluated using standard performance criteria including nonlinearity, bijection, bit independence, strict avalanche effect, linear approximation probability, and differential uniformity. The performance results are equated with some recently scrutinized S-boxes to ascertain its cryptographic forte. The critical analyses endorse that the proposed S-box construction technique is considerably innovative and effective to generate cryptographic strong substitution-boxes.

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Section: Related Workmentioning

confidence: 99%

An Innovative Design of Substitution-Boxes Using Cubic Polynomial Mapping

Zahid

Arshad

2019

Symmetry

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“…With the optimization technique, the proposed S‐box provides strong resistance against differential cryptanalysis. Table compares the performance of the proposed S‐box with some existing S‐boxes that are based on chaos . The table also compares the performance of the proposed S‐boxes with algebraic S‐boxes, such as the Advance Encryption Standard (AES), Affine‐Power‐Affine (APA) , Gray , Skipjack , Xyi , and Residue Prime S‐boxes.…”

Section: Performance Analysis Of Proposed S‐boxmentioning

confidence: 99%

Highly dispersive substitution box (S‐box) design using chaos

et al. 2020

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Highly dispersive S‐boxes are desirable in cryptosystems as nonlinear confusion sub‐layers for resisting modern attacks. For a near optimal cryptosystem resistant to modern cryptanalysis, a highly nonlinear and low differential probability (DP) value is required. We propose a method based on a piecewise linear chaotic map (PWLCM) with optimization conditions. Thus, the linear propagation of information in a cryptosystem appearing as a high DP during differential cryptanalysis of an S‐box is minimized. While mapping from the chaotic trajectory to integer domain, a randomness test is performed that justifies the nonlinear behavior of the highly dispersive and nonlinear chaotic S‐box. The proposed scheme is vetted using well‐established cryptographic performance criteria. The proposed S‐box meets the cryptographic performance criteria and further minimizes the differential propagation justified by the low DP value. The suitability of the proposed S‐box is also tested using an image encryption algorithm. Results show that the proposed S‐box as a confusion component entails a high level of security and improves resistance against all known attacks.

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“…This PRNG can achieve very high security level which almost corresponds to the length of the used key, but this security is gained at the expense of speed. In this paper, new PRNG based on improved one-dimensional discrete-space chaotic map [18] is proposed, which has very high security level and is considerably faster than previous PRNG [17].…”

Section: Introductionmentioning

confidence: 99%

“…• Proposed PRNG is based on new chaotic map [18] which is not used before in PRNGs of similar type. Consequently, effect of using this map for generation of pseudo-random numbers are not previously analyzed.…”

Section: Introductionmentioning

confidence: 99%

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New pseudo-random number generator based on improved discrete-space chaotic map

Lambić

Nikolić

2019

Filomat

Self Cite

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In this paper, a new pseudo-random number generator (PRNG) based on improved onedimensional discrete-space chaotic map is proposed. Like the original, the improved map relies on bijective mapping of permutations and natural numbers. Instead of using standard Lehmer code, we use a mapping computable in linear time, which significantly speeds up the PRNG. Results of NIST 800-22 test suite and TestU01 test suite confirm that the proposed approach can be used for generation of pseudo-random numbers. Due to discrete nature of used chaotic map, the proposed PRNG is not influenced by dynamical degradation and has virtually unlimited key space. Proposed approach has much better ratio between required memory and security level than previous secure one-dimensional discrete-space chaotic PRNGs. Also, proposed PRNG is much faster than other secure PRNGs of the same type. Satisfactory speed and small memory requirements indicate that proposed PRNG has properties desirable for use in devices with limited memory space, such as wireless sensor networks.

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S-box design method based on improved one-dimensional discrete chaotic map

Cited by 53 publications

References 19 publications

An Innovative Design of Substitution-Boxes Using Cubic Polynomial Mapping

An Innovative Design of Substitution-Boxes Using Cubic Polynomial Mapping

Highly dispersive substitution box (S‐box) design using chaos

New pseudo-random number generator based on improved discrete-space chaotic map

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