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Reversible codes in the Rosenbloom-Tsfasman metric.
- Source :
- AIMS Mathematics (2473-6988); 2024, Vol. 9 Issue 8, p22927-22940, 14p
- Publication Year :
- 2024
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- LINEAR codes
BINARY codes
TELECOMMUNICATION systems
DATA warehousing
CRYPTOGRAPHY
Subjects
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 9
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- AIMS Mathematics (2473-6988)
- Publication Type :
- Academic Journal
- Accession number :
- 178904394
- Full Text :
- https://doi.org/10.3934/math.20241115