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Preprints, Working Papers, ... Year : 2017

A first step towards the skew duadic codes

Abstract

This text gives a first draft of the definition of $θ$-duadic codes where θ is an au-tomorphism of $F q$. A link with the weakly self-dual $θ$-cyclic codes is established. A construction and an enumeration is provided when q is the square of a prime number p. Lastly a parametrization of irreducible skew polynomials of $F p 2 [X; θ]$ is given as an extension of this construction.
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Dates and versions

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

Identifiers

  • HAL Id : hal-01560025 , version 1

Cite

Delphine Boucher. A first step towards the skew duadic codes. 2017. ⟨hal-01560025v1⟩
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