形式幂级数环上的自对偶码  

The Self-dual Codes over Formal Power Series Rings

作　　者：杨萌[1] 刘花璐[1] 张晓燕[1] 刘修生[1] 

机构地区：[1]黄石理工学院数理学院,湖北黄石435003

出　　处：《数学的实践与认识》2011年第1期184-188,共5页Mathematics in Practice and Theory

摘　　要：形式幂级数环R_∞=F[[γ]]={sum from l=0 to a_lγ~l|a_l∈F}与有限链环R_i={a_0+a_1γ+…+a_(i-1)γ^(i-1)|a_i∈F}的码的投影与提升有密切关系.利用形式幂级数环R_∞上码C在有限链环R_i的投影码的自正交性与自对偶性来研究码C的自正交性与自对偶性,得到了两个有意义的结果.The codes of formal power series rings R∞=F[[γ]]={∑t=0^∞ alγ^l｜al∈F} and finite chain ringsRi={a0＋a1γ＋…＋a（i-1）γ^i-1｜ai∈F} have close relationship in lifted and projection.In this paper,we study self-orthogonal codes and self-dual codes over formal power series rings R_∞by means of self-orthogonal codes and self-dual codes over finite chain rings R_i,and obtain two results.

关 键 词：有限链环 形式幂级数环 自正交码 自对偶码 

分 类 号：O153.3[理学—数学]