Evaluation codes from smooth quadric surfaces and twisted Segre varieties
Language
en
Article de revue
This item was published in
Designs, Codes and Cryptography. 2013-01-01, vol. 66, n° 1-3, p. 291-303
Springer Verlag
English 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 ...Read more >
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.Read less <
English Keywords
Segre embedding
Spanish Keywords
Evaluation codes
Algebraic Geometry codes
quadric surfaces
BCH codes
Segre embedding.
Origin
Hal imported