TY - JOUR
T1 - Differential spectra of a class of power permutations with characteristic 5
AU - Yan, Haode
AU - Li, Chengju
N1 - Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.
PY - 2021/6
Y1 - 2021/6
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
U2 - 10.1007/s10623-021-00865-9
DO - 10.1007/s10623-021-00865-9
M3 - 文章
AN - SCOPUS:85103633197
SN - 0925-1022
VL - 89
SP - 1181
EP - 1191
JO - Designs, Codes, and Cryptography
JF - Designs, Codes, and Cryptography
IS - 6
ER -