Evaluation Codes from smooth Quadric Surfaces and Twisted Segre   Varieties
  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 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. 
Alain Couvreur and Iwan Duursma
cs.IT math.AG math.IT math.NT