Some Classes of Cryptographic Power Functions and Permutation Polynomials with Low (-1)-Differential Uniformity in Cyber Security - Details

author：

Liu, Qian (Liu, Qian.) ^[1] (Scholars：刘倩) | Dong, Xiaobei (Dong, Xiaobei.) ^[2] | Chen, Zhixiong (Chen, Zhixiong.) ^[3] | Liu, Ximeng (Liu, Ximeng.) ^[4] (Scholars：刘西蒙) | Xu, Li (Xu, Li.) ^[5]

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Abstract：

Cryptographic　functions　with　low　differential　uniformity　have　wide　applications　in　cryptography　and　cyber　security.　In　this　paper,　we　further　investigate　c-differential　uniformity　proposed　by　Ellingsen　et　al.　(IEEE　Transactions　on　Information　Theory.　2020,　66(9):　5781-5789).　Specifically,　two　classes　of　power　functions　with　low　(1)-differential　uniformity　over　finite　fields　with　odd　characteristic　are　obtained.　In　addition,　a　class　of　permutation　polynomials　and　P1N　or　AP1N　functions　over　F3n　are　proposed.　These　functions　with　low　c-differential　uniformity　are　utilized　to　resist　against　c-differential　attacks　in　cyberspace　from　those　with　the　usual　low　differential　uniformity.　©　2023　IEEE.

Keyword：

Cryptography Cybersecurity Information theory Polynomials

Community：

[ 1 ] [Liu, Qian]College of Computer and Data Science, Fuzhou University, Fuzhou, China
[ 2 ] [Liu, Qian]Putian University, Fujian Key Laboratory of Financial Information Processing, Putian, China
[ 3 ] [Dong, Xiaobei]College of Computer and Data Science, Fuzhou University, Key Laboratory of Information Security of Network Systems, Fuzhou, China
[ 4 ] [Chen, Zhixiong]Putian University, Fujian Key Laboratory of Financial Information Processing, Putian, China
[ 5 ] [Liu, Ximeng]College of Computer and Data Science, Fuzhou University, Key Laboratory of Information Security of Network Systems, Fuzhou, China
[ 6 ] [Xu, Li]College of Computer and Cyber Security, Fujian Normal University, Fuzhou, China

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Year： 2023

Page： 109-115

Language： English

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ESI Highly Cited Papers on the List： 0 Unfold All

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30 Days PV： 1

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计算机与大数据学院、软件学院本学院/部未明确归属的数据

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