Search

Showing total 2 results
2 results

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

2. On The Normality Set of Linear Operators

Author

Anas A. Hijab and Laith K. Shaakir

Subjects
General Computer Science, General Mathematics, media_common.quotation_subject, Linear operators, General Physics and Astronomy, Invariant, Quasi-similar operator, Normality set, Similar operator, Unitary operator, General Chemistry, Agricultural and Biological Sciences (miscellaneous), General Biochemistry, Genetics and Molecular Biology, Set (abstract data type), Combinatorics, lcsh:Q, Unitary operator, Invariant (mathematics), lcsh:Science, Normality, Mathematics, media_common
Abstract

In this paper, the Normality set will be investigated. Then, the study highlights some concepts properties and important results. In addition, it will prove that every operator with normality set has non trivial invariant subspace of .

Published
2020