超强码及其若干性质与结构

Hyper-Strong Codes,Their Properties and Structures

本文证明了有穷字母表Σ上的码 C 是超强码当且仅当 C 是 Abel 语言,当且仅当 Syn_M(C)是 Abel 群.本文也讨论了超强码的若干性质.并利用超码根刻划了超强码的结构.

In this paper,it is proved that a code C over a finite alphabet ∑ isa hyper-strong code if C is an abelian language,and if Syn_M(C)is anabelian group.Also some of the properties of hyper-strong codes arediscussed,and their structures are determined by their hypercode roots.