Papers › Jacobi polynomials for the first-order generalized Reed--Muller codes

Jacobi polynomials for the first-order generalized Reed--Muller codes

3 Sep 2023arXiv:2309.01119links table onlyarchive 2025-07-28

Ryosuke Yamaguchi

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In this paper, we give the Jacobi polynomials for first-order generalized Reed--Muller codes. We show as a corollary the nonexistence of combinatorial $3$-designs in these codes.

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