Improvement on Parameters of Algebraic-Geometry Codes from Hermitian Curves

Abstract

Motivated by Xing's method [7], we show that there exist [n,k,d] linear Hermitian codes over Fq2 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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