Evaluation codes from smooth quadric surfaces and twisted Segre varieties
Langue
en
Article de revue
Ce document a été publié dans
Designs, Codes and Cryptography. 2013-01-01, vol. 66, n° 1-3, p. 291-303
Springer Verlag
Résumé en anglais
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 ...Lire la suite >
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.< Réduire
Mots clés en anglais
Segre embedding
Mots clés en espagnol
Evaluation codes
Algebraic Geometry codes
quadric surfaces
BCH codes
Segre embedding.
Origine
Importé de halUnités de recherche