On the notion of Jacobi polynomials for codes

Michio Ozeki · Mathematical Proceedings of the Cambridge Philosophical Society · 1997

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.

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