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Projective MDS Codes Over GF(27)
- Source :
- Baghdad Science Journal, Vol 18, Iss 2(Suppl.) (2021)
- Publication Year :
- 2021
- Publisher :
- College of Science for Women, University of Baghdad, 2021.
-
Abstract
- MDS code is a linear code that achieves equality in the Singleton bound, and projective MDS (PG-MDS) is MDS code with independents property of any two columns of its generator matrix. In this paper, elementary methods for modifying a PG-MDS code of dimensions 2, 3, as extending and lengthening, in order to find new incomplete PG-MDS codes have been used over . Also, two complete PG-MDS codes over of length and 28 have been found.
- Subjects :
- General Computer Science
General Mathematics
Conic, Finite field, Finite projective plane, Maximum distance separable codes
Science
General Physics and Astronomy
020206 networking & telecommunications
0102 computer and information sciences
02 engineering and technology
General Chemistry
01 natural sciences
Agricultural and Biological Sciences (miscellaneous)
General Biochemistry, Genetics and Molecular Biology
Combinatorics
010201 computation theory & mathematics
0202 electrical engineering, electronic engineering, information engineering
Mathematics
Subjects
Details
- Language :
- Arabic
- ISSN :
- 24117986 and 20788665
- Volume :
- 18
- Issue :
- 2
- Database :
- OpenAIRE
- Journal :
- Baghdad Science Journal
- Accession number :
- edsair.doi.dedup.....566317b5a6b19fbcbe051b2b6bcb0f55