Three results on twisted $G-$codes and skew twisted $G-$codes
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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.
💡 Research Summary
The paper “Three results on twisted G‑codes and skew twisted G‑codes” addresses three open problems in the algebraic theory of group‑based linear codes. First, the authors settle the question raised in
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