@misc{10481/99231,
year = {2022},
month = {6},
url = {https://hdl.handle.net/10481/99231},
abstract = {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.},
keywords = {Cyclic codes},
keywords = {Skew-cyclic codes},
keywords = {Roos bound},
keywords = {Sum-rank metric},
keywords = {Tensor product codes},
title = {Sum-rank product codes and bounds on the minimum distance},
doi = {10.1016/j.ffa.2022.102013},
author = {Alfarano, Gianira N. and Lobillo Borrero, Francisco Javier and Neri, Alessandro and Wachter-Zeh, Antonia},
}