Jacobi polynomials for the first-order generalized Reed--Muller codes
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916136929460224 |
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| author | Yamaguchi, Ryosuke |
| author_facet | Yamaguchi, Ryosuke |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_01119 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Jacobi polynomials for the first-order generalized Reed--Muller codes Yamaguchi, Ryosuke Combinatorics 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. |
| title | Jacobi polynomials for the first-order generalized Reed--Muller codes |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2309.01119 |