RT info:eu-repo/semantics/article
T1 About the generalized Hamming weights of matrix-product codes
A1 San José Rubio, Rodrigo
K1 Linear codes
K1 Matrix-product codes
K1 Generalized Hamming weights
K1 Reed–Solomon codes
K1 12 Matemáticas
AB 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 minimumdistance 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.
PB Springer
SN 2238-3603
YR 2025
FD 2025
LK https://uvadoc.uva.es/handle/10324/75926
UL https://uvadoc.uva.es/handle/10324/75926
LA eng
NO Computational and Applied Mathematics, 2025, vol. 44, n. 4.
NO Producción Científica
DS UVaDOC
RD 16-jun-2025