Evaluation codes from smooth quadric surfaces and twisted Segre varieties
نویسندگان
چکیده
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 P ×P 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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ورودعنوان ژورنال:
- Des. Codes Cryptography
دوره 66 شماره
صفحات -
تاریخ انتشار 2013