【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={a₀+a₁γ+…+a_i-1γ^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.更多还原

【Abstract】 The codes of formal power series rings R_∞=F[[γ]]={sum from l=0 to a_lγ^l|a_l∈F} and finite chain ringsR_i = {a₀ + a₁γ+…+a_i-1γ^i-1|a_i∈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.更多还原