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Construction of quaternary Hermitian LCD codes
- Source :
- Cryptography and Communications. 15:455-467
- Publication Year :
- 2022
- Publisher :
- Springer Science and Business Media LLC, 2022.
-
Abstract
- We introduce a general construction of many Hermitian LCD $[n, k]$ codes from a given Hermitian LCD $[n, k]$ code. Furthermore, we present some results on punctured codes and shortened codes of quaternary Hermitian LCD codes. As an application, we improve some of the previously known lower bounds on the largest minimum weights of quaternary Hermitian LCD codes of length $12 \le n \le 30$.<br />15 pages
- Subjects :
- FOS: Computer and information sciences
Discrete Mathematics (cs.DM)
Computer Networks and Communications
Information Theory (cs.IT)
Computer Science - Information Theory
Applied Mathematics
ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION
GeneralLiterature_MISCELLANEOUS
Computer Science::Other
Computational Theory and Mathematics
Computer Science::Computer Vision and Pattern Recognition
FOS: Mathematics
Mathematics - Combinatorics
Mathematics::Differential Geometry
Combinatorics (math.CO)
Computer Science - Discrete Mathematics
Subjects
Details
- ISSN :
- 19362455 and 19362447
- Volume :
- 15
- Database :
- OpenAIRE
- Journal :
- Cryptography and Communications
- Accession number :
- edsair.doi.dedup.....0353cb1ca7b20561098cb61a0d6a24fb