1. Generalized Algebraic Geometric Codes From Maximal Curves.
- Author
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Calderini, Marco and Faina, Giorgio
- Subjects
- *
ALGEBRAIC geometry , *CODING theory , *ALGEBRAIC curves , *ASYMPTOTIC expansions , *POLYNOMIALS , *ENTROPY (Information theory) - Abstract
Some new results on Generalized Algebraic Geometric (GAG) codes are obtained. First, we provide some constructions which significantly improve the general lower bounds on the minimum distance of a GAG code. GAG codes associated to specific maximal curves over finite fields are then investigated. As a result, 2895 improvements on MinT's tables message="AS PER IEEE STYLE, REFERENCES ARE REMOVED FROM THE ABSTRACT"/ are obtained. Finally, we construct asymptotically good GAG codes with better parameters with respect to those constructed by Spera in 2005. Maximal curves play a role in this context as well. [ABSTRACT FROM AUTHOR]
- Published
- 2012
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