Three results on twisted $G-$codes and skew twisted $G-$codes
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.
Fields of Study & Subjects
Finite Group Theory Research
Coding theory and cryptography
Rings
Modules
and Algebras
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 2 January 2026
- Document type
- Preprint