3 citations · 3 across the 6 of their papers we have counts for
7 papers
Six Families of Binary Codes Arising from Ding's Conjectures
Xiaoqiang Wang, Shiyan Xiong, Mu yuan +3
Ding \cite{Ding2016} proposed ten conjectures on binary linear codes arising from Boolean functions. Four of them, namely Conjectures 38--41, were subsequently proved by Göloğlu an…
A Structural Characterization of Cyclotomic Cosets with Applications to Affine-Invariant Codes and BCH Codes
Xiongkun Zheng, Dabin Zheng, Xiaoqiang Wang +1
Affine-invariant codes have attracted considerable attention due to their rich algebraic structure and strong theoretical properties. In this paper, we study a family of affine-inv…
A Generalized -Function
Cheng Lyu, Mu Yuan, Dabin Zheng +2
The mapping from $\F_{2}^{n}$ to itself defined by with , where the indices are computed modulo , has been widely studied for its ap…
Two-to-one mappings and involutions without fixed points over $\bF_{2^n}$
Mu Yuan, Dabin Zheng, Yanping Wang
In this paper, two-to-one mappings and involutions without any fixed point on finite fields of even characteristic are investigated. First, we characterize a closed relationship be…
Subfield codes of linear codes from perfect nonlinear functions and their duals
Dabin Zheng, Xiaoqiang Wang, Yayao Li +1
Let be a finite field with elements, where is an odd prime and is a positive integer. Recently, \cite{Hengar} and \cite{Wang2020} determined the we…
Constructions of involutions over finite fields
Dabin Zheng, Mu Yuan, Nian Li +2
An involution over finite fields is a permutation polynomial whose inverse is itself. Owing to this property, involutions over finite fields have been widely used in applications s…
Two types of permutation polynomials with special forms
Dabin Zheng, Mu Yuan, Long Yu
Let be a power of a prime and be a finite field with elements. In this paper, we propose four families of infinite classes of permutation trinomials having t…