Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-24T16:24:15.708Z Has data issue: false hasContentIssue false
  • English
  • Français

On the notion of Jacobi polynomials for codes

Published online by Cambridge University Press:  01 January 1997

MICHIO OZEKI
MICHIO OZEKI
Affiliation:
Department of Mathematical Sciences, Faculty of Science, Yamagata University, Yamagata, Japan
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper, we introduce the notion of Jacobi polynomials for codes, and establish some fundamental features of it. This notion comes out of considerations on the various invariants of the codes (e.g. [22–24]); it has to do with Jacobi theta-series of positive definite quadratic forms (cf. [9], p. 82). Thus the name ‘Jacobi polynomials for codes’ traces this fact.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 121 , Issue 1 , January 1997 , pp. 15 - 30
Copyright
© Cambridge Philosophical Society 1997

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)