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Comptes Rendus Mathématique
Volume 339, n° 10
pages 745-750 (novembre 2004)
Doi : 10.1016/j.crma.2004.10.004
Received : 25 August 2004 ;  accepted : 5 October 2004
Sur la reconstruction des polynômes linéaires : un nouvel algorithme de décodage des codes de Gabidulin
On the reconstruction of linearized polynomials: a new decoding algorithm for Gabidulin codes.
 

Pierre Loidreau
Laboratoire de mathématiques appliquées, ENSTA, 32, bd Victor, 75015 Paris, France 

Résumé

Nous présentons un problème de reconstruction de polynômes linéaires ainsi qu'un algorithme en temps polynomial de résolution de ce problème dans un cas simple. Nous en déduisons un algorithme alternatif performant de décodage des codes de Gabidulin introduits en 1985. Pour citer cet article : P. Loidreau, C. R. Acad. Sci. Paris, Ser. I 339 (2004).

The full text of this article is available in PDF format.
Abstract

We describe a reconstruction problem for linearized polynomials. We equally describe a polynomial-time algorithm enabling to solve this problem in a simple case. From this algorithm we deduce an alternative efficient decoding algorithm for Gabidulin codes introduced in 1985. To cite this article: P. Loidreau, C. R. Acad. Sci. Paris, Ser. I 339 (2004).

The full text of this article is available in PDF format.


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