研究了 GR(2s,n)上1生成准循环码的生成元一般形式,证明了一类1生成准循环码是GR(2s,n)环上的自由模,得出了GR(2s,n)环上1生成准循环码是GR(2s,n)的扩环上线性码的直积,该环上准负循环码与准循环码有类似的结构性质.
The structure of the generator of a 1-generator quasi-cyclic code over the GR(2s,n)was studied. It was proved that a class of 1-generator quasi-cyclic codes over GR(2s,n)is a free module,a 1-generator quasi-cyclic codes over the GR(2s,n)is a direct product of linear codes over Galois extension rings of GR(2s,n),the quasi-negacyclic codes over the GR(2s,n)have some structure results similar to the quasi-cyclic codes over the GR(2s,n).