Further improvements on asymptotic bounds for codes using distinguished divisors

Date

2007-07-01

Author

Niederreiter, Harald
Özbudak, Ferruh

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For a prime power q, let alpha(q) be the standard function in the asymptotic theory of codes, that is, alpha(q)(delta) (6) is the largest asymptotic information rate that can be achieved for a given asymptotic relative minimum distance 6 of q-ary codes. In recent years the Tsfasman-VlAduj-Zink lower bound on alpha(q) (delta) was improved by Elkies, Xing, and Niederreiter and Ozbudak. In this paper we show further improvements on these bounds by using distinguished divisors of global function fields. (c) 2005 Elsevier Inc. All rights reserved.

Subject Keywords

Theoretical Computer Science, General Engineering, Algebra and Number Theory, Applied Mathematics

URI

https://hdl.handle.net/11511/47698

Journal

FINITE FIELDS AND THEIR APPLICATIONS

DOI

https://doi.org/10.1016/j.ffa.2005.11.004

Collections

Department of Mathematics, Article

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Citation Formats

H. Niederreiter and F. Özbudak, “Further improvements on asymptotic bounds for codes using distinguished divisors,” FINITE FIELDS AND THEIR APPLICATIONS, pp. 423–443, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/47698.