The choice of an isomorphism, a duality, between a finite abelian group $A$ and its character group allows one to define dual codes of additive codes over $A$. Properties of dualities and dual codes are studied, continuing work of Delsarte from 1973 and more recent work of Dougherty and his collaborators.

翻译：选取有限阿贝尔群$A$与其特征群之间的同构（即对偶性），可定义$A$上加法码的对偶码。本文延续Delsarte（1973）以及Dougherty与其合作者近期的工作，研究了对偶性与对偶码的性质。