The second minimum weight of Grassmann codes
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866911121625055232 |
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| author | Datta, Mrinmoy Dutta, Tiasa |
| author_facet | Datta, Mrinmoy Dutta, Tiasa |
| contents | We give an independent combinatorial proof of Nogin's Theorem concerning the minimum distance of the Grassmann codes using a special decomposition of the Grassmannians. We use the same idea to also compute the second minimum weight of the Grassmann codes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_18844 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The second minimum weight of Grassmann codes Datta, Mrinmoy Dutta, Tiasa Combinatorics Information Theory 14G50, 14M15, 94B27 We give an independent combinatorial proof of Nogin's Theorem concerning the minimum distance of the Grassmann codes using a special decomposition of the Grassmannians. We use the same idea to also compute the second minimum weight of the Grassmann codes. |
| title | The second minimum weight of Grassmann codes |
| topic | Combinatorics Information Theory 14G50, 14M15, 94B27 |
| url | https://arxiv.org/abs/2508.18844 |