Title :
Towers of function fields and iterated means
Author_Institution :
CNRS, Univ. des Sci. et Tech. de Lille Flandres Artois, Villeneuve d´´Ascq, France
fDate :
7/1/2000 12:00:00 AM
Abstract :
Towers of function fields meeting the Drinfeld-Vladut bound with equality were constructed by Gorcal-Stichtenoth (1995, 1996). Modular uniformizations thereof were pointed out by Elkies (1996). We connect this fact to hypergeometric analogs of the arithmetic-geometric mean and related theta series identities discovered by Borweins and Garven
Keywords :
algebraic geometric codes; iterative methods; Drinfeld-Vladut bound; arithmetic-geometric mean; equality; function fields; hypergeometric analogs; iterated means; modular uniformizations; theta series identities; towers; Gaussian processes; Geometry; Iterative algorithms; Jacobian matrices; Lattices; Linear code; Notice of Violation; Poles and towers;
Journal_Title :
Information Theory, IEEE Transactions on
