RT info:eu-repo/semantics/article
T1 Multilayer crisscross error and erasure correction
A1 Martínez Peñas, Umberto
K1 Álgebra lineal
AB In this work, multilayer crisscross errors and erasures are considered, which affect entire rows and columns in the matrices of a list of matrices. To measure such errors and erasures, the multi-cover metric is introduced. Several bounds are derived, including a Singleton bound, and maximum multi-cover distance (MMCD) codes are defined as those attaining it. Duality, puncturing and shortening of linear MMCD codes are studied. It is shown that the dual of a linear MMCD code is not necessarily MMCD, and those satisfying this duality condition are defined as dually MMCD codes. Finally, some constructions of codes in the multi-cover metric are given, including dually MMCD codes, together with efficient decoding algorithms for them.
PB Elsevier
SN 0024-3795
YR 2026
FD 2026
LK https://uvadoc.uva.es/handle/10324/78250
UL https://uvadoc.uva.es/handle/10324/78250
LA eng
NO Linear Algebra and its Applications Volume 728, 1 January 2026, Pages 349-375
NO Producción Científica
DS UVaDOC
RD 04-oct-2025