Duadic常循环码的一些性质

Some properties of duadic constacyclic codes

纠错码理论是保证信息传输可靠性的重要理论基础,经过六十多年的发展,纠错码得到了广泛的应用与研究.主要研究了duadic常循环码的一些性质,重点讨论了Type-Ⅱduadic常循环码存在的充要条件,给出了能构成Type-Ⅱduadic常循环码的重要参数s的取值范围与个数.最后,构造了一类duadic常循环MDS码.

Error-correcting coding theory is the main theoretical basis for relia-bility of information transmission.Error-correcting coding has been widely used and researched in sixty years of development.This paper studies some properties of duadic constacyclic codes.We exhibit necessary and sufficient conditions for the existence of Type-II duadic constacyclic codes,and all of the values of parameter s which can construct Type-II duadic constacyclic codes are given.Finally,a class of related duadic constacyclic MDS codes is constructed.