西北师范大学学报（自然科学版）2026，Vol.62Issue(1)：15-22,8.DOI:10.16783/j.cnki.nwnuz.2026.01.002
LCD MDS码的最新研究进展
On the latest research progress of LCD MDS codes
摘要
Abstract
Linear complementary dual(LCD)codes have been extensively studied due to their significant applications in data storage and cryptography.Maximum distance separable(MDS)codes possess optimal error-correction capability,therefore,constructing LCD MDS codes is a prominent research topic in coding theory.The explicit constructions of LCD MDS codes can be given using Goppa codes,twisted generalized Reed-Solomon codes,and skew group codes.This paper reviews recent advances on LCD MDS codes since 2020,and proposes some unresolved problems in this field.关键词
线性码/线性互补对偶码/MDS码/Goppa码/扭曲广义Reed-Solomon码Key words
linear code/linear complementary dual code/MDS code/Goppa code/twisted generalized Reed-Solomon code分类
数理科学引用本文复制引用
乔兴斌,杜小妮..LCD MDS码的最新研究进展[J].西北师范大学学报（自然科学版）,2026,62(1):15-22,8.基金项目
国家自然科学基金资助项目(62562055,62172337) （62562055,62172337）
甘肃省自然科学基金重点资助项目(23JRRA685) （23JRRA685）
甘肃省基础研究创新群体资助项目(23JRRA684) （23JRRA684）
