Projective MDS Codes Over GF(27)‎

Authors

Emad Bakr Abdulkareem Al-Zangana, Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, IraqFollow

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.

Keywords

Conic, Finite field, Finite projective plane, Maximum distance separable codes.

Article Type

Supplemental Issue

How to Cite this Article

Al-Zangana, Emad Bakr Abdulkareem (2021) "Projective MDS Codes Over GF(27)‎," Baghdad Science Journal: Vol. 18: Iss. 2, Article 38.
DOI: https://doi.org/10.21123/bsj.2021.18.2(Suppl.).1125