Title :
One-Point AG Codes on the GK Maximal Curves
Author :
Fanali, Stefania ; Giulietti, Massimo
Author_Institution :
Dipt. di Mat. e Inf., Univ. della Basilicata, Potenza, Italy
Abstract :
In this paper, algebraic-geometric (AG) codes associated to a recently discovered class of maximal curves are investigated. As a result, some linear codes with better parameters with respect to the previously known ones are discovered, and 70 improvements on MinT\´s tables ("Tables of optimal parameters for linear codes,\´\´ University of Salzburg, Salzburg, Austria) are obtained.
Keywords :
algebraic geometric codes; linear codes; GK maximal curves; algebraic-geometric codes; linear codes; one-point AG codes; Cost accounting; Error correction codes; Galois fields; Linear code; Parameter estimation; Upper bound; Algebraic–geometric (AG) codes; Giulietti– Korchmaros (GK) curve; Weierstrass semigroup; maximal curves; one-point codes;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2009.2034826
