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oai:uvadoc.uva.es:10324/759262025-06-10T19:02:16Zcom_10324_32197com_10324_952com_10324_894col_10324_32199

San José Rubio, Rodrigo Producción Científica We derive a general lower bound for the generalized Hamming weights of nested matrix- product codes, with a particular emphasis on the cases with two and three constituent codes. We also provide an upper bound which is reminiscent of the bounds used for the minimum distance of matrix-product codes. When the constituent codes are two Reed–Solomon codes, we obtain an explicit formula for the generalized Hamming weights of the resulting matrix- product code. We also deal with the non-nested case for the case of two constituent codes. 2025-06-10 2025-06-10 2025 info:eu-repo/semantics/article Computational and Applied Mathematics, 2025, vol. 44, n. 4. 2238-3603 https://uvadoc.uva.es/handle/10324/75926 10.1007/s40314-025-03141-x 4 Computational and Applied Mathematics 44 1807-0302 eng https://link.springer.com/article/10.1007/s40314-025-03141-x info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/4.0/ © 2025 The Author(s) Atribución 4.0 Internacional Springer