Improvement on Parameters of Algebraic-Geometry Codes from Hermitian Curves

2007/09/13 by Siman Yang, Yang, Siman
Computer Science · Engineering · Mathematics · #Coding theory and cryptography #Finite Group Theory Research #graph theory and CDMA systems #math.AG #msc:94B27 #msc:94B65

paper · pdf · doi:10.48550/arxiv.0709.1983

5 pages

arxiv created 2007/09/13 · arxiv updated 2009/12/01

Abstract

Motivated by Xing's method [7], we show that there exist [n,k,d] linear Hermitian codes over F_q² with k+d>=n-3 for all sufficiently large q. This improves the asymptotic bound of Algebraic-Geometry codes from Hermitian curves given in [9,10].

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