CAJ | 학술논문

最近，剩余类环上的常循环码及常循环自对偶码引起了编码学者的极大关注。本文首先利用一些相关的线性码，建立了一类特殊有限链环上长为 N的常循环自对偶码的一般理论，利用其结果给出了该环上长为 N的（1＋ uλ）-常循环自对偶码存在的充分条件，得到了该环上长为 N的一些常循环自对偶码，并给出了其生成多项式。
최근，잉여류배상적상순배마급상순배자대우마인기료편마학자적겁대관주。본문수선이용일사상관적선성마，건립료일류특수유한련배상장위 N적상순배자대우마적일반이론，이용기결과급출료해배상장위 N적（1＋ uλ）-상순배자대우마존재적충분조건，득도료해배상장위 N적일사상순배자대우마，병급출료기생성다항식。
Recently ,a lot of coding scholars show a great interest in the study of constacyclic codes and constacyclic self-du-al codes over the residue rings .In this paper ,by utilizing some related linear codes ,we first give the general theory of constacyclic self-dual codes of length N over a class of special finite chain rings .Using the obtained results ,we give the sufficient conditions of the existence of constacyclic self-dual codes of length N over the ring .Finally ,we determine the structures of some constacyclic self-dual codes of length N over the ring and give their generator polynomials .