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.
出处
《数学的实践与认识》
CSCD
北大核心
2011年第1期184-188,共5页
Mathematics in Practice and Theory
关键词
有限链环
形式幂级数环
自正交码
自对偶码
finite chain rings
formal power series rings
self-orthogonal codes
self-dual codes