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Article Dans Une Revue Discrete Mathematics Année : 2020

A note on linear complementary pairs of group codes

Résumé

We give a short and elementary proof of the fact that for a linear complementary pair (C, D), where C and D are 2-sided ideals in a group algebra, D is uniquely determined by C and the dual code D ⊥ is permutation equivalent to C. This includes earlier results of [3] and [6] on nD cyclic codes which have been proved by subtle and lengthy calculations in the space of polynomials.
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hal-03852292 , version 1 (14-11-2022)

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Martino Borello, Javier de la Cruz, Wolfgang Willems. A note on linear complementary pairs of group codes. Discrete Mathematics, 2020, 343 (8), pp.111905. ⟨10.1016/j.disc.2020.111905⟩. ⟨hal-03852292⟩
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