On checkable codes in group algebras - Archive ouverte HAL
Article Dans Une Revue Journal of Algebra and Its Applications Année : 2022

On checkable codes in group algebras

Résumé

We classify, in terms of the structure of the finite group G, all group algebras KG for which all right ideals are right annihilators of principal left ideals. This means in the language of coding theory that we classify code-checkable group algebras KG which have been considered so far only for abelian groups G. Optimality of checkable codes and asymptotic results are discussed.
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Dates et versions

hal-03852305 , version 1 (14-11-2022)

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Martino Borello, Javier de la Cruz, Wolfgang Willems. On checkable codes in group algebras. Journal of Algebra and Its Applications, 2022, 21 (06), ⟨10.1142/S0219498822501250⟩. ⟨hal-03852305⟩
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