Affine cartesian codes
  We compute the basic parameters (dimension, length, minimum distance) of affine evaluation codes defined on a cartesian product of finite sets. Given a sequence of positive integers, we construct an evaluation code, over a degenerate torus, with prescribed parameters. As an application of our results, we recover the formulas for the minimum distance of various families of evaluation codes. 
Hiram H. Lopez, Carlos Renteria and Rafael H. Villarreal
math.AC cs.IT math.AG math.CO math.IT