Differential spectra of a class of power permutations with characteristic 5

Haode Yan; Chengju Li

doi:10.1007/s10623-021-00865-9

Differential spectra of a class of power permutations with characteristic 5

Haode Yan
, Chengju Li^*

^*Corresponding author for this work

Software Engineering Institute

Southwest Jiaotong University
Guangxi Key Laboratory of Cryptography and Information Security
Xidian University

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

Let n be a positive integer and F(x) = x^d over F5n, where d=5n-32. In this paper, we study the differential properties of the power permutation F(x). It is shown that F(x) is differentially 4-uniform when n is even, and differentially 5-uniform when n is odd. Based on some knowledge on elliptic curves over finite fields, the differential spectrum of F(x) is also determined.

Original language	English
Pages (from-to)	1181-1191
Number of pages	11
Journal	Designs, Codes, and Cryptography
Volume	89
Issue number	6
DOIs	https://doi.org/10.1007/s10623-021-00865-9
State	Published - Jun 2021

Keywords

Differential spectrum
Differential uniformity
Elliptic curve
Power permutation

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title = "Differential spectra of a class of power permutations with characteristic 5",

abstract = "Let n be a positive integer and F(x) = xd over F5n, where d=5n-32. In this paper, we study the differential properties of the power permutation F(x). It is shown that F(x) is differentially 4-uniform when n is even, and differentially 5-uniform when n is odd. Based on some knowledge on elliptic curves over finite fields, the differential spectrum of F(x) is also determined.",

keywords = "Differential spectrum, Differential uniformity, Elliptic curve, Power permutation",

author = "Haode Yan and Chengju Li",

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N2 - Let n be a positive integer and F(x) = xd over F5n, where d=5n-32. In this paper, we study the differential properties of the power permutation F(x). It is shown that F(x) is differentially 4-uniform when n is even, and differentially 5-uniform when n is odd. Based on some knowledge on elliptic curves over finite fields, the differential spectrum of F(x) is also determined.

AB - Let n be a positive integer and F(x) = xd over F5n, where d=5n-32. In this paper, we study the differential properties of the power permutation F(x). It is shown that F(x) is differentially 4-uniform when n is even, and differentially 5-uniform when n is odd. Based on some knowledge on elliptic curves over finite fields, the differential spectrum of F(x) is also determined.

KW - Differential spectrum

KW - Differential uniformity

KW - Elliptic curve

KW - Power permutation

UR - https://www.scopus.com/pages/publications/85103633197

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M3 - 文章

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JO - Designs, Codes, and Cryptography

JF - Designs, Codes, and Cryptography

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ER -

Differential spectra of a class of power permutations with characteristic 5

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Keywords

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