4 papers · 1 filter
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…