安庆师范大学学报（自然科学版）2024，Vol.30Issue(2)：20-25,6.DOI:10.13757/j.cnki.cn34-1328/n.2024.02.004
一类三元极小线性码的构造
Construction of a Class of Ternary Minimal Linear Codes
摘要
Abstract
Minimal linear codes, as a special category of linear codes, are critically important in applications such as se-cret sharing schemes and secure multi-party computation. It is of great significance to construct minimal linear codes over fi-nite fields. Based on exponential sum, Krawtchouk polynomials and functions defined on special vector sets, we construct a new class of ternary minimal linear codes that do not satisfy the Ashikhmin-Barg condition, and then determine their weight distribution and complete weight enumerator.关键词
线性码/极小码/汉明重量/完全重量计数Key words
linear codes/minimal linear codes/hamming weight/complete weight enumerator分类
数理科学引用本文复制引用
王玉琦,孙敏,陈文兵..一类三元极小线性码的构造[J].安庆师范大学学报（自然科学版）,2024,30(2):20-25,6.基金项目
国家自然科学基金(11626032)和安徽省高校优秀青年人才支持计划项目(gxyqZD2021120) （11626032）
