Goppa geometric codes achieving the Gilbert-Varshamov bound

Authors:
Chaoping Xing
Affiliations:
Dept. of Math., Nat. Univ. of Singapore
Venue:
IEEE Transactions on Information Theory
Year:
2005

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Abstract

Based on s-zeta-functions of curves over finite fields, we show that Goppa geometry codes achieve the q-ary Gilbert-Varshamov bound for all prime powers q (including q=2)