1. Projective MDS Codes Over GF(27)
- Author
-
Emad Bakr Al-Zangana
- 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 - 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.
- Published
- 2021