PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

A problem of Beelen, Garcia and Stichtenoth on an Artin–Schreier tower in characteristic two

Volume 182 / 2018

María Chara, Horacio Navarro, Ricardo Toledano Acta Arithmetica 182 (2018), 311-330 MSC: Primary 11R58, 11G20; Secondary 14H05. DOI: 10.4064/aa8638-10-2017 Published online: 16 February 2018

Abstract

We study a tower of function fields of Artin–Schreier type over a finite field with $2^s$ elements. The study of the asymptotic behavior of this tower was left as an open problem by Beelen, Garcia and Stichtenoth in 2006. We prove that this tower is optimal over a finite field with four elements.

Authors

  • María CharaInstituto de Matemática Aplicada
    del Litoral
    Colectora Ruta Nac. N 168
    Paraje El Pozo
    (3000) Santa Fe, Argentina
    e-mail
  • Horacio NavarroInstituto de Matemática Aplicada
    del Litoral
    Colectora Ruta Nac. N 168
    Paraje El Pozo
    (3000) Santa Fe, Argentina
    and
    Universidad del Valle
    Calle 13 # 100-00
    Cali, Colombia
    e-mail
  • Ricardo ToledanoDepartamento de Matemática
    Facultad de Ingeniería Química (UNL)
    Santiago del Estero 2829
    (3000) Santa Fe, Argentina
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image