论文标题
关于在局部环上重复根系多环形代码的结构
On the structure of repeated-root polycyclic codes over local rings
论文作者
论文摘要
本文为局部环上的重复根系多环形代码提供了广义的Mattson Solomon多项式，这在完成单根研究的基础上可以显式地分解它们。它还指出了在矩阵产品代码方面，重复根系多环形代码在有限字段上的某些结构特性。两种方法都提供了给定多环当代码的$ \ perp_0 $双码的描述。
This paper provides the Generalized Mattson Solomon polynomial for repeated-root polycyclic codes over local rings that gives an explicit decomposition of them in terms of idempotents that completes the single root study. It also states some structural properties of repeated-root polycyclic codes over finite fields in terms of matrix product codes. Both approaches provide a description of the $\perp_0$-dual code of a given polycyclic code.
