空军工程大学学报2026，Vol.27Issue(3)：120-126,7.DOI:10.3969/j.issn.2097-1915.2026.03.013
两类小码长四元局部修复码的构造
Construction of Two Types of Quaternary Locally Repairable Codes with Small Code Length
摘要
Abstract
Efficient data repair is of great significance in distributed storage systems,and locally repairable codes(LRCs)can effectively enhance repair efficiency.Firstly,projective caps are utilized to construct LRCs with a code length 127≤n≤252 and a distance of 4.It is proved that all the constructed LRCs a-chieve either the Singleton-Like bound or the Cadambe-Mazumdar bound,i.e.,they are Singleton-Like(S-L)optimal or Cadambe-Mazumdar(C-M)optimal.Secondly,based on the generator matrices of some known optimal linear codes(BKLCs)with a dimension of 5,multiple methods are adopted to construct LRCs with small locality when the code length is length 25≤n≤110.It is also proved that some of these constructed LRCs are C-M optimal.关键词
局部修复码/射影cap/局部度最优/生成矩阵Key words
locally repairable codes/projective cap/locality optimal/generator matrix分类
数理科学引用本文复制引用
李俊菠,付强,杨瑞磻..两类小码长四元局部修复码的构造[J].空军工程大学学报,2026,27(3):120-126,7.基金项目
国家自然科学基金(U21A20428) （U21A20428）
陕西省自然科学基础研究计划(2025JC-YBQN-070) （2025JC-YBQN-070）
