Skip to main content
SpringerLink
Log in

Classification of Extremal Formally Self-Dual Even Codes of Length 22

  • Published:
Graphs and Combinatorics Aims and scope Submit manuscript

Abstract.

 Lengths 22 and 30 are so far the only open cases in the classification of extremal formally self-dual even codes. In this paper, a classification of the extremal formally self-dual even codes of length 22 is given. There are 41520 such codes.A variety of properties of these codes are investigated. In particular, new 2-(22, 6, 5) designs are constructed from the codes.

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

Access this article

Log in via an institution

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

Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, Yamagata University, Yamagata 990-8560, Japan. e-mail: mharada@sci.kj.yamagata-u.ac.jp, , , , , , JP

    Masaaki Harada

  2. Department of Electrical and Communications Engineering, Helsinki University of Technology, P.O. Box 3000, 02015 HUT, Finland. e-mail: Patric.Ostergard@hut.fi, , , , , , FI

    Patric R.J. Östergård

Authors
  1. Masaaki Harada
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Patric R.J. Östergård
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: February 9, 2000

Rights and permissions

Reprints and permissions

About this article

Cite this article

Harada, M., Östergård, P. Classification of Extremal Formally Self-Dual Even Codes of Length 22. Graphs Comb 18, 507–516 (2002). https://doi.org/10.1007/s003730200037

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s003730200037

Keywords

Search

Navigation