Three results on twisted $G-$codes and skew twisted $G-$codes
Algebraic Geometry
2026-02-05 v4 Cryptography and Security
Information Theory
math.IT
Abstract
In this paper we solve an open question formulated in the original paper of twisted skew group codes regarding when a twisted skew group code is checkable. Also, we prove that all ideals of dimension 3 over a twisted group algebra are abelian group codes, generalising another previous result over group algebras. Finally, we prove a bound on the dimension and distance of a twisted group code, as well as when such bound is reached.
Cite
@article{arxiv.2601.00752,
title = {Three results on twisted $G-$codes and skew twisted $G-$codes},
author = {Alvaro Otero Sanchez},
journal= {arXiv preprint arXiv:2601.00752},
year = {2026}
}