Evaluation Codes from Smooth Quadric Surfaces and Twisted Segre Varieties

Abstract : We give the parameters of any evaluation code on a smooth quadric surface. For hyperbolic quadrics the approach uses elementary results on product codes and the parameters of codes on elliptic quadrics are obtained by detecting a BCH structure on these codes and using the BCH bound. The elliptic quadric is a twist of the surface P1 * P1 and we detect a similar BCH structure on twists of the Segre embedding of a product of any d copies of the projective line.
Type de document :
Communication dans un congrès
WCC 2011 - Workshop on coding and cryptography, Apr 2011, Paris, France. pp.243-252, 2011
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https://hal.inria.fr/inria-00611801
Contributeur : Assia Saadi <>
Soumis le : mercredi 27 juillet 2011 - 15:07:42
Dernière modification le : mercredi 29 novembre 2017 - 10:26:56

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  • HAL Id : inria-00611801, version 1

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Alain Couvreur, Iwan Duursma. Evaluation Codes from Smooth Quadric Surfaces and Twisted Segre Varieties. WCC 2011 - Workshop on coding and cryptography, Apr 2011, Paris, France. pp.243-252, 2011. 〈inria-00611801〉

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