有限域F81上的双恢复集的局部恢复码的构造
Construction of local recovery codes for double recovery sets on finite field F81
钱隆 1胡万宝 1陈晓辉1
作者信息
- 1. 安庆师范大学数理学院,安徽 安庆 246133
- 折叠
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F81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.
Abstract
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 F81,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.
关键词
有限域/线性码/局部恢复码(LRC)Key words
finite field/linear code/local recovery code(LRC)引用本文复制引用
出版年
2024
NETL
NSTL
万方数据