@article{Gopinadh2024, 
author = {Bodigiri Sai Gopinadh and Venkatrajam Marka},
title = {Reversible codes in the Rosenbloom-Tsfasman metric},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {8},
pages = {22927-22940},
keywords = {self-dual code, reversible code, MDS code, linear code, RT-metric},
url = {https://www.sciopen.com/article/10.3934/math.20241115},
doi = {10.3934/math.20241115},
abstract = {Reversible codes have a range of wide applications in cryptography, data storage, and communication systems. In this paper, we investigated reversible codes under the Rosenbloom-Tsfasman metric (RT-metric). First, some properties of reversible codes in the RT-metric were described. An essential condition for a reversible code to be a maximum distance separable code (MDS code, in short) in the RT-metric was established. A necessary condition for a binary self-dual code to be reversible was proven and the same was generalized for  q-ary self-dual reversible codes. Several constructions for reversible RT-metric codes were provided in terms of their generator matrices.}
}