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.
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
