In this work, constructions of ordered covering arrays are discussed and applied to obtain new upper bounds on covering codes in Rosenbloom-Tsfasman spaces (RT spaces), improving or extending some previous results.

Bounds on codes, Covering codes, Ordered covering arrays, Rosenbloom-tsfasman metric
Lecture Notes in Computer Science
School of Mathematics and Statistics

Castoldi, A.G. (André Guerino), Monte Carmelo, E.L. (Emerson Luiz do), Moura, L. (Lucia), Panario, D, & Stevens, B. (2019). Bounds on covering codes in RT spaces using ordered covering arrays. In Lecture Notes in Computer Science. doi:10.1007/978-3-030-21363-3_9