Projective Segre codes.
Azucena Tochimani, Maria Vaz Pinto, Rafael H. Villarreal · arXiv (Cornell University) · 2015
Let K=Fq be a finite field. We introduce a family of projective Reed-Muller-type codes called projective Segre codes. Then we study their basic parameters and show that they are direct products of projective Reed-Muller-type codes. It turns out that the direct product of two projective Reed-Muller-type codes is again a projective Reed-Muller-type code. As a consequence we recover some results on projective Reed-Muller-type codes over the Segre variety and over projective tori.