Stichtenoth, Henning and Tutdere, Seher (2015) Quadratic recursive towers of function fields over F2. Turkish Journal of Mathematics, 39 (5). pp. 665682. ISSN 13000098 (Print) 13036149 (Online)
This is the latest version of this item.
Official URL: http://dx.doi.org/10.3906/mat141142
Abstract
Let F = (Fn)(n >= 0) be a quadratic recursive tower of algebraic function fields over the finite field F2 i.e. F is a recursive tower such that [Fn : Fnl] = 2 for all n >= 1. For any integer r >= 1, let beta(r)(F) := lim(n >infinity)B(r)(Fn)/g(Fn) where Br(Fn) is the number of places of degree r and g(Fn) is the genus, respectively, of Fn/F2. In this paper we give a classification of all rational functions f(X, Y) is an element of F2 (X, Y) that may define a quadratic recursive tower F over F2 with at least one positive invariant beta(r)(F). Moreover, we estimate beta(1)(F)for each such tower.
Item Type:  Article 

Uncontrolled Keywords:  Towers of algebraic function fields; genus; number of places 
Subjects:  Q Science > QA Mathematics 
Divisions:  Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences 
Depositing User:  Henning Stichtenoth 
Date Deposited:  16 Dec 2015 14:32 
Last Modified:  23 Aug 2019 12:19 
URI:  https://research.sabanciuniv.edu/id/eprint/27758 
Available Versions of this Item

Quadratic recursive towers of function fields over F_2. (deposited 20 Nov 2014 15:05)
 Quadratic recursive towers of function fields over F2. (deposited 16 Dec 2015 14:32) [Currently Displayed]