RT info:eu-repo/semantics/article T1 Multilayer crisscross error and erasure correction A1 Martínez Peñas, Umberto K1 Crisscross error correction K1 Duality K1 Extremal codes K1 Sum-rank distance 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 25-oct-2025