Improvement on Parameters of Algebraic-Geometry Codes from Hermitian Curves

Details Improvement on Parameters of Algebraic-Geometry Codes from Hermitian Curves Improvement on Parameters of Algebraic-Geometry Codes from Hermitian Curves

2007-09-13

arxiv.org/abs/0709.1983v1

Mathematics

Algebraic Geometry

5 pages

Scientific paper

Motivated by Xing's method [7], we show that there exist [n,k,d] linear
Hermitian codes over F_{q^2} 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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