New differentially 4-uniform permutations from modifications of the inverse function
- 주제(키워드) Differential uniformity , Differential-linear uniformity , Differentially 4-uniform permutations , Nonlinearity
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- OA유형 Bronze
- 발행기관 Academic Press Inc.
- 발행년도 2022
- URI http://www.dcollection.net/handler/ewha/000000183907
- 본문언어 영어
- Published As http://dx.doi.org/10.1016/j.ffa.2021.101931
초록/요약
Finding permutations with good cryptographic parameters is a good research topic about constructing a secure S-box in substitution-permutation networks. In particular constructing differentially 4-uniform permutations has made considerable progress in recent years. In this paper, we present new differentially 4-uniform permutations from the inverse function composed by disjoint cycles. Our new differentially 4-uniform permutations have high nonlinearity and low differential-linear uniformity. We give the differential spectrum and the extended Walsh spectrum of some of our differentially 4-uniform permutations, and then we can see that they are CCZ-inequivalent to some permutations whose differential spectrum and extended Walsh spectrum are known. © 2021 Elsevier Inc.
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