Dualities for finite abelian groups and applications to coding theory
Information Theory
2026-01-07 v1 Group Theory
math.IT
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.
Keywords
Cite
@article{arxiv.2601.03126,
title = {Dualities for finite abelian groups and applications to coding theory},
author = {Jay A. Wood},
journal= {arXiv preprint arXiv:2601.03126},
year = {2026}
}
Comments
32 pages