New Optimal Tame Towers of Function Fields over Small Finite Fields. Conference paper; First Online: 01 January 2002. pp 372–389; Cite this conference paper.

In this paper we exhibit new optimal tame towers found by computer search using the powerful algebraic number theory package KASH [1]. In section 3, we explain ...

There are three approaches to finding lower bounds for A(q): class field towers, modular curves and explicit towers (that is, given explicitly in terms of ...

Name, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Volume, 2369.

Oct 22, 2024 · Amongst others, we find an asymptotically optimal family of explicit towers of cubic extensions over F p 2 (for p ≥ 5) where the places which ...

A. Garcia and H. Stichtenoth, A tower of Artin-Schreier extensions of function fields attaining the Drinfeld-Vladut bound, Invent. Math. 121 (1995), 211-222.

Dive into the research topics of 'New optimal tame towers of function fields over small finite fields'. Together they form a unique fingerprint. Sort by; Weight ...

We first give a method for constructing towers of function fields over any finite field Fq with finitely many prescribed invariants being positive. For q a ...

He further conjectures that all the optimal towers over F q 2 constructed recursively should be modular. Every new tower found in this paper dominates a tower ...

Various new tame towers are found, including a family of towers of cubic extensions for which numerical evidence suggests that it is asymptotically optimal over ...