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arXiv · 2601.00752

Three results on twisted $G-$codes and skew twisted $G-$codes

Alvaro Otero Sanchez
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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.

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Alvaro Otero Sanchez. 2026-01-02. Three results on twisted $G-$codes and skew twisted $G-$codes. https://arxiv.org/abs/2601.00752

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