[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7858/eamj.2021.001

ON THE MODIFICATION OF FINITE FIELD BASED S-BOX

Kim, Jun Kyo (Department of Mathematics, Pusan National University)

Publication Information

East Asian mathematical journal / v.37, no.1, 2021 , pp. 1-7 More about this Journal

Abstract

In modern block ciphers, S-box plays a very important role in the secrets of symmetric encryption algorithms. Many popular block ciphers have adopted various S-Boxes to design better S-Boxes. Among the researches, Jin et al. proposed a simple scheme to create a new S-box from Rijndael S-box. Only one of the new S-boxes for 29 is a bijection with a better algebraic representation than the original. Therefore, they asked a few questions. In this paper, we answer the following question : When the resulting S-box is bijection?

Keywords

Rijndael; AES; S-box;

Citations & Related Records

Reference

1	C. Carlet, Vectorial Boolean Functions for Cryptography, Cambridge University Press, 2006.
2	Joan Daemen, Vincent Rijmen, The Design of Rijndael: AESThe Advanced Encryption Standard, Springer-Verlag, 2002.
3	Joan Daemen, Vincent Rijmen, AES Proposal: Rijndael, National Institute of Standards and Technology, 2003.
4	N. Ferguson, R. Schroeppel, D. Whiting, A simiple algebraic representation of Rijndael, In S. Vaudenay and A. Youssef, editors, Proceedings of Selected Areas in Cryptography, LNCS, Springer-Verlag, (2001), 103-111.
5	S-Y. Jin, J-M. Baek, H-Y. Song, Improved Rijndael-like S-Box and its transform domain analysis, Sequences and Their Applications SETA 2006, LNCS, vol. 4086, (2006), 153
6	N. Kokash, An introduction to heuristic algorithms, Department of Informatics and Telecommunications, 2005.
7	D. Lambi, S-box design method based on improved one-dimensional discrete chaotic map, Journal of Information and Telecommunication, vol. 2- Issue 2, (2018), 181-191. DOI
8	J. Liu, W. Li and G. Bai, An improved S-Box of lightweight block cipher roadrunner for hardware optimization, China Semiconductor Technology International Conference (CSTIC), Shanghai, (2018), 1-4.
9	A.M. Youssef, S.E. Tavares, Affine equivalence in the AES round function, affine equivalence in the AES round function, (2005), 161-170.