摘要
局部恢复码(LRC)是指码字的任意一个坐标位置的值都可以通过较少的r个其它位置的值来恢复.构造具有双恢复集的LRC码是为了解决通信中节点访问的拥堵问题.本文将在有限域F_(81)上,通过其不同的乘法子群的陪集将其正交划分,构造出码的生成集,进而赋值产生具有双恢复集的局部恢复码.进一步地,将其推广到特征为3的一般有限域上构造双恢复集的LRC码.
Local recovery code(LRC)refers to the value of any coordinate position of the code word can be recovered by a smaller number of r other positions.LRC codes with double recovery sets are constructed to solve the congestion problem of node access in communication.In this paper,based on the finite fields F_(81),and then assign a value to produce a local recovery code with a double recovery set.Further,it is extended to LRC codes constructing a double recovery set on a general finite field with characteristic 3.
作者
钱隆
胡万宝
陈晓辉
QIAN Long;HU Wanbao;CHEN Xiaohui(School of Mathematics and Science,Anqing Normal University,Anqing 246133,China)
出处
《纯粹数学与应用数学》
2024年第2期339-346,共8页
Pure and Applied Mathematics
基金
国家自然科学基金(11601109)。
