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Weight enumerators, intersection enumerators and Jacobi polynomials II

Published 19 Nov 2021 in math.CO, math.GR, and math.NT | (2111.10162v2)

Abstract: In the present paper, we introduce the concepts of Jacobi polynomials and intersection enumerators of codes over $\mathbb{F}q$ and $\mathbb{Z}{k}$ for arbitrary genus $g$. We also discuss the interrelation among them. Finally, we give the MacWilliams type identities for Jacobi polynomials.

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