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Article Dans Une Revue Advances in Mathematics of Communications Année : 2018

A first step towards the skew duadic codes

Résumé

This text gives a first definition of the $\theta$-duadic codes where $\theta$ is an automorphism of $F q$. A link with the weakly self-dual $\theta$-cyclic codes is established. A construction and an enumeration are provided when $q$ is the square of a prime number $p$. In addition, new self-dual binary codes $ [72, 36, 12] $ are obtained from extended $\theta$-duadic codes defined on $F 4$.
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Dates et versions

hal-01560025 , version 1 (11-07-2017)
hal-01560025 , version 2 (24-08-2017)
hal-01560025 , version 3 (16-02-2018)

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Delphine Boucher. A first step towards the skew duadic codes. Advances in Mathematics of Communications, 2018, 12 (3), pp.553-577. ⟨10.3934/amc.2018033⟩. ⟨hal-01560025v3⟩
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