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Linear codes over finite rings are trace codes.
- Source :
-
Discrete Mathematics . Aug2020, Vol. 343 Issue 8, pN.PAG-N.PAG. 1p. - Publication Year :
- 2020
-
Abstract
- Linear codes over finite rings are described here as trace codes for a suitable generalization of the trace called a GF-trace. Cyclic codes over Galois rings are given a trace description as well. The main tools are the notion of trace dual bases, in the case of linear codes, and of normal bases of an extension ring over a ring, in the case of cyclic codes. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FINITE rings
*CYCLIC codes
*LINEAR codes
*CIPHERS
Subjects
Details
- Language :
- English
- ISSN :
- 0012365X
- Volume :
- 343
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Discrete Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 144318057
- Full Text :
- https://doi.org/10.1016/j.disc.2020.111919