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Direct products in projective Segre codes
January 08, 2015 · Declared Dead · 🏛 Finite Fields Their Appl.
"No code URL or promise found in abstract"
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Authors
Azucena Tochimani, Maria Vaz Pinto, Rafael H. Villarreal
arXiv ID
1501.01692
Category
math.AC
Cross-listed
cs.IT,
math.AG
Citations
5
Venue
Finite Fields Their Appl.
Last Checked
1 month ago
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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