5 research outputs found
The small weight codewords of the functional codes associated to non-singular Hermitian varieties
Full text linkEvaluation Codes from smooth Quadric Surfaces and Twisted Segre Varieties
Full text linkWe 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 of these codes and using the BCH bound. The elliptic quadric is a
twist of the surface P^1 x P^1 and we detect a similar BCH structure on twists
of the Segre embedding of a product of any d copies of the projective line.Comment: 10 pages. Presented at the conference Workshop on Coding theory and
Cryptography 201
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