Dualities for finite abelian groups and applications to coding theory
arXiv:2601.03126
Abstract
The choice of an isomorphism, a duality, between a finite abelian group and its character group allows one to define dual codes of additive codes over . Properties of dualities and dual codes are studied, continuing work of Delsarte from 1973 and more recent work of Dougherty and his collaborators.
32 pages