5 papers
Minimum Distances of Binary Goppa Codes and Constructions with Prescribed Alternating Automorphism Groups
Tianni He, Kangquan Li, Longjiang Qu
Goppa codes are a well-known class of linear codes with important applications in cryptography. Determining the minimum distance of Goppa codes and constructing Goppa codes with pr…
Several new classes of self-orthogonal minimal linear codes violating the Ashikhmin-Barg condition
Wengang Jin, Kangquan Li, Longjiang Qu
Linear codes have attracted considerable attention in coding theory and cryptography due to their significant applications in secret sharing schemes, secure two-party computation,…
Constructions of binary self-orthogonal singly-even minimal linear codes violating the Aschikhmin-Barg condition with few weights
Kangquan Li, Hao Chen, Wengang Jin +1
We first establish a simple yet powerful necessary and sufficient condition for a binary linear code to be SO, leading to a complete characterization of singly-even codes in this f…
Balanced Boolean functions with few-valued Walsh spectra parameterized by
Qiancheng Zhang, Kangquan Li, Longjiang Qu
Boolean functions with few-valued spectra have wide applications in cryptography, coding theory, sequence designs, etc. In this paper, we further study the parametric construction…
Constructing rotatable permutations of with -homogeneous functions
Yunwen Chi, Kangquan Li, Longjiang Qu
In the literature, there are many results about permutation polynomials over finite fields. However, very few permutations of vector spaces are constructed although it has been sho…