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arXiv · 1501.01692

Direct products in projective Segre codes

Azucena Tochimani·Maria Vaz Pinto·Rafael H. Villarreal
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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.

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Azucena Tochimani, Maria Vaz Pinto, Rafael H. Villarreal. 2015-01-08. Direct products in projective Segre codes. https://arxiv.org/abs/1501.01692

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