节点文献
一类少重量线性码的构造
A Construction of a Class Linear Codes with Few Weights
【摘要】 少重量线性码在密钥共享方案、强正则图和数据存储中具有广泛的应用.文章利用三个弱正则高原平衡函数构造线性码.利用Walsh变换和指数和,确定这类线性码的重量分布,得到一类少重量线性码.
【Abstract】 Linear codes with few weights have diverse applications in secret sharing schemes, strongly regular graphs and data storage devices. In this paper, several families of linear codes are constructed from three weakly regular plateaued balanced functions. The weight distribution of the class of linear codes is determined by Walsh transform and exponential sums. Furthermore, we obtain a class of few-weight linear codes.
【关键词】 线性码;
少重量码;
弱正则高原平衡函数;
重量分布;
【Key words】 Linear code; few-weight code; weakly regular plateaued function; weight distribution;
【Key words】 Linear code; few-weight code; weakly regular plateaued function; weight distribution;
【基金】 国家自然科学基金(U21A20428,12171134);安徽省高校自然科学重点项目(2024AH050303);安徽省质量工程项目(2022jyxm334)资助课题
- 【文献出处】 系统科学与数学 ,Journal of Systems Science and Mathematical Sciences , 编辑部邮箱 ,2026年01期
- 【分类号】O157.4
- 【下载频次】11