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Article Dans Une Revue Journal of Algebra and Its Applications Année : 2022

ON THE ALGEBRAIC STRUCTURE OF QUASI GROUP CODES

Résumé

In this note, an intrinsic description of some families of linear codes with symmetries is given, showing that they can be described more generally as quasi group codes, that is, as linear codes allowing a group of permutation automorphisms which acts freely on the set of coordinates. An algebraic description, including the concatenated structure, of such codes is presented. This allows to construct quasi group codes from codes over rings, and vice versa. The last part of the paper is dedicated to the investigation of self-duality of quasi group codes.
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Dates et versions

hal-03852311 , version 1 (14-11-2022)

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Martino Borello, Wolfgang Willems. ON THE ALGEBRAIC STRUCTURE OF QUASI GROUP CODES. Journal of Algebra and Its Applications, 2022, ⟨10.1142/S0219498823502225⟩. ⟨hal-03852311⟩
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