Improved Rijndael-Like S-Box and Its Transform Domain Analysis

Jin, Seok-Yong; Baek, Jong‐Min; Song, Hong‐Yeop

doi:10.1007/11863854_13

Cited by 2 publications

(1 citation statement)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In [9] a method of Vender Pol Oscillator is considered to form a resilient S-box. In [10] author applied a certain specific technique of irreducible polynomial to establish 29 S-boxes but only 1 is bijective having higher algebraic expression. A specific category of invertible mappings is operated on generated elements of S-box to enhance the confusion producing capacity of nonlinear constituent [11].…”

Section: Introductionmentioning

confidence: 99%

Impact of 16-Primitive Irreducible Polynomials Over Erection of High Performance S-Boxes Emanate from Linear Fractional Transformation

Sarfraz¹,

Li²,

Ali³

et al. 2018

dtcse

View full text Add to dashboard Cite

Abstract. As a consequence of fast and most recent enhancements in the sphere of IT, information can be transferred on an enormous distance in a very diminutive time. On the other hand safekeeping of sensitive unclassified information becomes more significant in certain circumstances and for these persistence different Cryptographic strategies exists to protect efficiently the concealment of statistics. In this article, we envisioned an effective methodology developed from linear fractional transformation for the composition of nonlinear constituent recognized as S-box and additionally upshot of application of 16 diverse Primitive Irreducible Polynomials (PIPs) are inspected to increase its performance. Moreover, to inspect the performance of S-box against linear and differential attacks we operated illustrious properties of S-box like linear and differential approximation probabilities. To examine the encryption abilities of S-boxes well-known tests of strict avalanche criterion, nonlinearity and bits independence criterion are also applied.

show abstract

Section: Introductionmentioning

confidence: 99%

Impact of 16-Primitive Irreducible Polynomials Over Erection of High Performance S-Boxes Emanate from Linear Fractional Transformation

Sarfraz¹,

Li²,

Ali³

et al. 2018

dtcse

View full text Add to dashboard Cite

show abstract

Enhancement of Non-Permutation Binomial Power Functions to Construct Cryptographically Strong S-Boxes

et al. 2023

View full text Add to dashboard Cite

A Substitution box (S-box) is an important component used in symmetric key cryptosystems to satisfy Shannon’s property on confusion. As the only nonlinear operation, the S-box must be cryptographically strong to thwart any cryptanalysis tools on cryptosystems. Generally, the S-boxes can be constructed using any of the following approaches: the random search approach, heuristic/evolutionary approach or mathematical approach. However, the current S-box construction has some drawbacks, such as low cryptographic properties for the random search approach and the fact that it is hard to develop mathematical functions that can be used to construct a cryptographically strong S-box. In this paper, we explore the non-permutation function that was generated from the binomial operation of the power function to construct a cryptographically strong S-box. By adopting the method called the Redundancy Removal Algorithm, we propose some enhancement in the algorithm such that the desired result can be obtained. The analytical results of our experiment indicate that all criteria such as bijective, nonlinearity, differential uniformity, algebraic degree and linear approximation are found to hold in the obtained S-boxes. Our proposed S-box also surpassed several bijective S-boxes available in the literature in terms of cryptographic properties.

show abstract

Improved Rijndael-Like S-Box and Its Transform Domain Analysis

Cited by 2 publications

References 16 publications

Impact of 16-Primitive Irreducible Polynomials Over Erection of High Performance S-Boxes Emanate from Linear Fractional Transformation

Impact of 16-Primitive Irreducible Polynomials Over Erection of High Performance S-Boxes Emanate from Linear Fractional Transformation

Enhancement of Non-Permutation Binomial Power Functions to Construct Cryptographically Strong S-Boxes

Contact Info

Product

Resources

About