Towards a Basis for the Space of Regular Functions in a Tower of Function Fields Meeting the Drinfeld-Vladut Bound

Ilia Aleshnikov (), Vinay Deolalikar (), P. Vijay Kumar () and Henning Stichtenoth ()
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Ilia Aleshnikov: Universität GH Essen
Vinay Deolalikar: Hughes Network Systems
P. Vijay Kumar: University of Southern California
Henning Stichtenoth: Universität GH Essen

A chapter in Finite Fields and Applications, 2001, pp 14-24 from Springer

Abstract: Abstract In this paper, a convenient set of functions is identified whose span includes all functions in a tower of function fields of Garcia and Stichtenoth that have poles only at the place at infinity. The latter set is of interest in the construction of long and efficient “one-point” AG codes.

Keywords: Function Field; Regular Function; Integral Basis; Elementary Symmetric Function; Algebraic Number Theory (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-56755-1_2

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DOI: 10.1007/978-3-642-56755-1_2

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