Sum-rank product codes and bounds on the minimum distance Alfarano, Gianira N. Lobillo Borrero, Francisco Javier Neri, Alessandro Wachter-Zeh, Antonia Cyclic codes Skew-cyclic codes Roos bound Sum-rank metric Tensor product codes The tensor product of one code endowed with the Hamming metric and one endowed with the rank metric is analyzed. This gives a code which naturally inherits the sum-rank metric. Specializing to the product of a cyclic code and a skew-cyclic code, the resulting code turns out to belong to the recently introduced family of cyclic-skew-cyclic codes. A group theoretical description of these codes is given, after investigating the semilinear isometries in the sum-rank metric. Finally, a generalization of the Roos and the Hartmann-Tzeng bounds for the sum rank-metric is established, as well as a new lower bound on the minimum distance of one of the two codes constituting the product code. 2025-01-15T11:18:32Z 2025-01-15T11:18:32Z 2022-06 journal article https://hdl.handle.net/10481/99231 10.1016/j.ffa.2022.102013 eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional