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The second minimum weight of Grassmann codes

Published 26 Aug 2025 in math.CO, cs.IT, and math.IT | (2508.18844v1)

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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