密码学报（中英文）2024，Vol.11Issue(6)：1308-1319,12.DOI:10.13868/j.cnki.jcr.000737
两类具有少重量的二元线性码构造
Construction of Two Classes of Binary Linear Code with a Few Weights
摘要
Abstract
Linear codes with a few weights have important applications in secret sharing scheme,as-sociation scheme,communication systems,etc.In recent years,constructing linear codes from Boolean functions and definition sets is an important research direction in coding field.In this study,by mod-ifying the direct sum construction,some Boolean functions with a few Walsh-spectral are obtained by selecting suitable bent and plateaued functions,and the distribution of its Walsh-spectral are de-termined.Furthermore,the support set of the Boolean function is selected as the definition set to construct linear codes with a few weights,and their explicit weight distribution are given using the Walsh-spectral.The results show that these codes are all three to six weights,and there are a lot of minimal linear codes.关键词
线性码/bent函数/plateaued函数/Walsh谱/重量分布Key words
linear codes/bent function/plateaued function/Walsh-spectral/weight distribution分类
信息技术与安全科学引用本文复制引用
杨志耀,卓泽朋..两类具有少重量的二元线性码构造[J].密码学报（中英文）,2024,11(6):1308-1319,12.基金项目
国家自然科学基金(61902140) （61902140）
福建省自然科学基金(2023J01535) （2023J01535）
淮北师范大学自然科学基金(2023ZK032)National Natural Science Foundation of China(61902140) （2023ZK032）
Natural Science Foundation of Fujian Province(2023J01535) （2023J01535）
Natural Science Foundation of Huaibei Normal University(2023ZK032) （2023ZK032）
