Technology of Information Security
|
App. Res. of Comp. Printed Article
Vol. 37, 2020 No. 3
838-842

New analysis of low degree algebraic relation between input and output of 4 bit S-box

Cheng Yuedana
Wei Yongzhuangb,c
Ye Taoa
a. Guangxi Key Laboratory of Wireless Wideband Communication & Signal Processing, b. Guangxi Key Laboratory of Cryptography & Information Security, c. Guangxi Colleges & Universities Key Laboratory of Cloud Computing & Complex Systems, Guilin University of Electronic Technology, Guilin Guangxi 541004, China
DOI: 10.19734/j.issn.1001-3695.2018.08.0658

Abstract

Currently, with the extensive use of the 4 bit S-box in lightweight encryption algorithms, it appears to be an important issue to look for the algebraic relationships between their inputs and outputs. This paper proposed a general algorithm for calculating the nonlinear loop algebraic relationships by using the low algebraic relationships between input and output of S-Box. Moreover, it checked algebraic relationships of both the well-known optimal 4 bit S-box and the S-box used in some famous lightweight encryption algorithms. The results show that only 3 classes of 16 categories of optimal 4 bit S-box have square loop algebraic relationships. In particular, the S-box belonging to the same equivalence class may possess different square loop algebraic relationships. Furthermore, the S-box of some lightweight cryptographic algorithms(e. g., MANTIS, PRIDE, and Marvin) had many square loop algebraic relationships. There exist potential security flaws of these S-box which possess low degree algebraic relationships.

Foundation Support

国家自然科学基金资助项目(61572148,61872103)
广西研究生教育创新计划资助项目(YCBZ2018051)
桂林电子科技大学研究生优秀学位论文培育资助项目(16YJPYSS12)
桂林电子科技大学研究生教育创新计划资助项目(2018YJCX45)

Publish Information

DOI: 10.19734/j.issn.1001-3695.2018.08.0658
Publish at: Application Research of Computers Printed Article, Vol. 37, 2020 No. 3
Section: Technology of Information Security
Pages: 838-842
Serial Number: 1001-3695(2020)03-043-0838-05

Publish History

[2020-03-05] Printed Article

Cite This Article

程月单, 韦永壮, 叶涛. 4 bit S盒输入及输出低次代数关系分析 [J]. 计算机应用研究, 2020, 37 (3): 838-842. (Cheng Yuedan, Wei Yongzhuang, Ye Tao. New analysis of low degree algebraic relation between input and output of 4 bit S-box [J]. Application Research of Computers, 2020, 37 (3): 838-842. )

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  • Application Research of Computers Monthly Journal
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Application Research of Computers, founded in 1984, is an academic journal of computing technology sponsored by Sichuan Institute of Computer Sciences under the Science and Technology Department of Sichuan Province.

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