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1. Goppa geometric codes achieving the Gilbert-Varshamov bound
Chaoping Xing;
Information Theory, IEEE Transactions on
Volume 51,  Issue 1,  Jan. 2005 Page(s):259 - 264
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)
Abstract | Full Text: PDF(191 KB)    IEEE JNL
 
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