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The Ethereal
The second minimum weight of Grassmann codes
August 26, 2025 · The Ethereal · 🏛 arXiv.org
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Authors
Mrinmoy Datta, Tiasa Dutta
arXiv ID
2508.18844
Category
math.CO: Combinatorics
Cross-listed
cs.IT
Citations
1
Venue
arXiv.org
Last Checked
3 months ago
Abstract
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.
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