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Conference Papers Year : 2011

Evaluation Codes from Smooth Quadric Surfaces and Twisted Segre Varieties

Iwan Duursma
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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.
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Dates and versions

inria-00611801 , version 1 (27-07-2011)

Identifiers

  • HAL Id : inria-00611801 , version 1

Cite

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. ⟨inria-00611801⟩
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