8 x 8 S-boxes over Klein four-group and Galois field GF(24): AES redesign

被引:0
作者
Hazzazi, Mohammad Mazyad [1 ]
Aljaedi, Amer [2 ]
Bassfar, Zaid [3 ]
Rani, Misbah [4 ]
Shah, Tariq [4 ]
机构
[1] King Khalid Univ, Dept Math, Coll Sci, Abha 61413, Saudi Arabia
[2] Univ Tabuk, Coll Comp & Informat Technol, Tabuk 71491, Saudi Arabia
[3] Univ Tabuk, Dept Informat Technol, Tabuk 71491, Saudi Arabia
[4] Quaid i Azam Univ, Dept Math, Islamabad, Pakistan
来源
AIMS MATHEMATICS | 2024年 / 9卷 / 05期
关键词
AES; Klein four group V-4; S-boxes; Cartesian structure; Cartesian permutation; V-4 X V-4;
D O I
10.3934/math.2024537
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This research paper is supplemented with a unique formation to design state-of-the-art Sboxes. The invented approach is simple but has the capability of creating confusion in our newly proposed algorithm. Our core planned work refined the method of already designed S -boxes to accomplish more compact ones. Various structures were merged here, namely affine transformation, fractional linear transformation, structure of Klein four -group, and the algebraic structures of the Galois fields, GF(2(4)) and GF(2(8)). These structures were utilized to synthesize newly 1600 robust S -boxes. Besides, we discussed encryption steps of AES with these newly generated S -boxes. We highlighted some specific characteristics, performance of parameter's improvement, and their utilization. Nonlinear properties were mainly set to inspect the behavior of I/O bits and could apply image encryption. Then, the performance of proposed S -boxes and newly structured AES was tested in comparison with other prevailing S -boxes.
引用
收藏
页码:10977 / 10996
页数:20
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