Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4582686 | Finite Fields and Their Applications | 2016 | 15 Pages |
Abstract
Let K=FqK=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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Azucena Tochimani, Maria Vaz Pinto, Rafael H. Villarreal,