宿州学院学报2024，Vol.39Issue(12)：13-17,23,6.DOI:10.3969/j.issn.1673-2006.2024.12.003
一类低重量线性码的构造
Construction of a Class of Low Weight Linear Codes
摘要
Abstract
By selecting the suitable definition sets and utilizing the exponential sums over finite fields and the pro-perties of weakly regular bent functions,the weight distribution and parameters of this class of linear codes are deter-mined.The properties of the definition set provide the truncated codes and their weight distribution for this type of linear code,and some low weight linear codes are constructed.The vast majority of constructed linear codes are mi-nimal linear codes,which can be further used to design well-designed and secure key sharing schemes.关键词
有限域/弱正则bent函数/指数和/极小线性码Key words
Finite field/Weakly regular bent function/Exponential sum/Minimal linear codes分类
数理科学引用本文复制引用
张金灯,解晓娟,陈文兵..一类低重量线性码的构造[J].宿州学院学报,2024,39(12):13-17,23,6.基金项目
国家自然科学基金(11626032) （11626032）
安徽省高校优秀青年人才支持计划项目(gxyqZD2021120) （gxyqZD2021120）
安徽省高等学校自然科学研究重点项目(KJ2021A0651). （KJ2021A0651）
