Skip to main content

Advertisement

Springer Nature Link
Log in

Kummer Curves and Their Fibre Products with Many Rational Points

  • Published:
Applicable Algebra in Engineering, Communication and Computing Aims and scope

Abstract.

 We introduce an efficient method of constructing curves with many rational points. This method bases on the fine features of Kummer extensions. We obtain new curves after practical searching.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Explore related subjects

Discover the latest articles and news from researchers in related subjects, suggested using machine learning.

Author information

Authors and Affiliations

  1. Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo 153-8914, Japan (e-mail:motoko@ms.u-tokyoac.jp), , , , , , JP

    Motoko Qiu Kawakita

Authors
  1. Motoko Qiu Kawakita
    View author publications

    You can also search for this author inPubMed Google Scholar

Additional information

Received: July 23, 2002; revised version: February 5, 2003

Keywords: Algebro-geometric codes, Rational points, Kummer extensions, Fibre products.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kawakita, M. Kummer Curves and Their Fibre Products with Many Rational Points. AAECC 14, 55–64 (2003). https://doi.org/10.1007/s00200-003-0121-9

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00200-003-0121-9

Keywords