research
∙
03/29/2023
Binary self-orthogonal codes which meet the Griesmer bound or have optimal minimum distances
The purpose of this paper is two-fold. First, we characterize the existe...
share
research
∙
04/18/2022
On the Differential Properties of the Power Mapping x^p^m+2
Let m be a positive integer and p a prime. In this paper, we investigate...
research
∙
09/28/2021
The q-ary antiprimitive BCH codes
It is well-known that cyclic codes have efficient encoding and decoding ...
research
∙
09/28/2021
The connections among Hamming metric, b-symbol metric, and r-th generalized Hamming metric
The r-th generalized Hamming metric and the b-symbol metric are two diff...
research
∙
08/06/2021
The Differential Spectrum of the Power Mapping x^p^n-3
Let n be a positive integer and p a prime. The power mapping x^p^n-3 ove...
research
∙
07/08/2020
A complete characterization of the APN property of a class of quadrinomials
In this paper, by the Hasse-Weil bound, we determine the necessary and s...
research
∙
06/22/2020
Binary linear codes with few weights from two-to-one functions
In this paper, we apply two-to-one functions over 𝔽_2^n in two generic c...
research
∙
06/22/2020
The resolution of Niho's last conjecture concerning sequences, codes, and Boolean functions
A new method is used to resolve a long-standing conjecture of Niho conce...
research
∙
12/05/2019
Cryptographically Strong Permutations from the Butterfly Structure
In this paper, we present infinite families of permutations of F_2^2n wi...
research
∙
11/15/2019
Two-weight codes over the integers modulo a prime power
Let p be a prime number. Irreducible cyclic codes of length p^2-1 and di...
research
∙
07/09/2018
