在有限域上构造长度为klmpn的常循环码
Repeated-Root Constacyclic Codes of Length klmpn over a Finite Field
DOI: 10.12677/PM.2018.84052, PDF,   
作者: 周佳美*, 唐西林：华南理工大学数学学院，广东 广州
关键词: 常循环码；生成多项式；分圆陪集；Constacyclic Codes； Generator Polynomials； Cyclotomic Cosets
摘要: 常循环码在编码理论中起着重要的作用，它可以通过简单的移位寄存器来提高编码过程的效率。在本篇文章中，对于不同的奇素数k，l，m和p，我们得到了在Fq上长度为klmpn的常循环码的生成多项式，其中p为Fq的特征。
Abstract: Constacyclic codes play an important role in coding theory for their abundant algebraic structures which lead to high efficiency in decoding procedure by simple shift registers. In this paper, for dif-ferent odd primes k, l, m and p, we obtain generator polynomials of constacyclic codes of length klmpn over finite field Fq, where char Fq = p.
文章引用：周佳美, 唐西林. 在有限域上构造长度为klmpn的常循环码[J]. 理论数学, 2018, 8(4): 383-397. https://doi.org/10.12677/PM.2018.84052

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