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Improvement on Parameters of Algebraic-Geometry Codes from Hermitian Curves

Algebraic Geometry 2007-09-14 v1

Abstract

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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Cite

@article{arxiv.0709.1983,
  title  = {Improvement on Parameters of Algebraic-Geometry Codes from Hermitian Curves},
  author = {Siman Yang},
  journal= {arXiv preprint arXiv:0709.1983},
  year   = {2007}
}

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5 pages