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Evaluation codes and their basic parameters
July 30, 2019 · Declared Dead · + Add venue
"No code URL or promise found in abstract"
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Authors
Delio Jaramillo, Maria Vaz Pinto, Rafael H. Villarreal
arXiv ID
1907.13217
Category
math.AC
Cross-listed
cs.IT,
math.AG,
math.CO,
math.NT
Citations
1
Last Checked
1 month ago
Abstract
The aim of this work is to give degree formulas for the generalized Hamming weights of evaluation codes and to show lower bounds for these weights. In particular, we give degree formulas for the generalized Hamming weights of Reed--Muller-type codes, and we determine the minimum distance of toric codes over hypersimplices, and the 1st and 2nd generalized Hamming weights of squarefree evaluation codes.
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