Direct products in projective Segre codes
Commutative Algebra
2016-01-28 v4 Information Theory
Algebraic Geometry
math.IT
Abstract
Let K=Fq be a finite field. We introduce a family of projective Reed-Muller-type codes called projective Segre codes. Using commutative algebra and linear algebra methods, we study their basic parameters and show that they are direct products of projective Reed-Muller-type codes. As a consequence we recover some results on projective Reed-Muller-type codes over the Segre variety and over projective tori.
Keywords
Cite
@article{arxiv.1501.01692,
title = {Direct products in projective Segre codes},
author = {Azucena Tochimani and Maria Vaz Pinto and Rafael H. Villarreal},
journal= {arXiv preprint arXiv:1501.01692},
year = {2016}
}