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Determination for minimum symbol-pair and RT weights via torsional degrees of repeated-root cyclic codes.
- Source :
- Applicable Algebra in Engineering, Communication & Computing; Jul2024, Vol. 35 Issue 4, p573-588, 16p
- Publication Year :
- 2024
-
Abstract
- There are various metrics for researching error-correcting codes. Especially, high-density data storage system gives the existence of inconsistency for the reading and writing process. The symbol-pair metric is motivated for outputs that have overlapping pairs of symbols in a certain channel. The Rosenbloom–Tsfasman (RT) metric is introduced since there exists a problem that is related to transmission over several parallel communication channels with some channels not available for the transmission. In this paper, we determine the minimum symbol-pair weight and RT weight of repeated-root cyclic codes over R = F p m [ u ] / ⟨ u 4 ⟩ of length n = p k . For the determination, we explicitly present third torsional degree for all different types of cyclic codes over R of length n. [ABSTRACT FROM AUTHOR]
- Subjects :
- ERROR-correcting codes
DATA warehousing
CYCLIC codes
WRITING processes
Subjects
Details
- Language :
- English
- ISSN :
- 09381279
- Volume :
- 35
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Applicable Algebra in Engineering, Communication & Computing
- Publication Type :
- Academic Journal
- Accession number :
- 177817881
- Full Text :
- https://doi.org/10.1007/s00200-023-00605-7