Quadratic recursive towers of function fields over F-2

Warning The system is temporarily closed to updates for reporting purpose.

Stichtenoth, Henning and Tutdere, Seher (2015) Quadratic recursive towers of function fields over F-2. Turkish Journal of Mathematics, 39 (5). pp. 665-682. ISSN 1300-0098 (Print) 1303-6149 (Online)

This is the latest version of this item.

Full text not available from this repository.

Official URL: http://dx.doi.org/10.3906/mat-1411-42


Let F = (F-n)(n >= 0) be a quadratic recursive tower of algebraic function fields over the finite field F-2 i.e. F is a recursive tower such that [F-n : Fn-l] = 2 for all n >= 1. For any integer r >= 1, let beta(r)(F) := lim(n ->infinity)B(r)(F-n)/g(F-n) where B-r(F-n) is the number of places of degree r and g(F-n) is the genus, respectively, of F-n/F-2. In this paper we give a classification of all rational functions f(X, Y) is an element of F-2 (X, Y) that may define a quadratic recursive tower F over F-2 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
ID Code:27758
Deposited By:Henning Stichtenoth
Deposited On:16 Dec 2015 14:32
Last Modified:23 Aug 2019 12:19

Available Versions of this Item

Repository Staff Only: item control page