{"ID":2823297,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2601.00752","arxiv_id":"2601.00752","title":"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.","short_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. Finall...","url_abs":"https://arxiv.org/abs/2601.00752","url_pdf":"https://arxiv.org/pdf/2601.00752v4","authors":"[\"Alvaro Otero Sanchez\"]","published":"2026-01-02T17:16:09Z","proceeding":"math.AG","tasks":"[\"math.AG\",\"cs.CR\",\"cs.IT\"]","methods":"[]","has_code":false}