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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
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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

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