Certain Types of Linear Codes over the Finite Field of Order Twenty-Five

Emad Bakr  Al-Zangana; Elaf Abdul Satar  Shehab

doi:10.24996/ijs.2021.62.11.22

Authors

Emad Bakr Al-Zangana Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq
Elaf Abdul Satar Shehab Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2021.62.11.22

Keywords:

Linear code, MDS, Projective space, Incidence matrix

Abstract

The aim of the paper is to compute projective maximum distance separable codes, -MDS of two and three dimensions with certain lengths and Hamming weight distribution from the arcs in the projective line and plane over the finite field of order twenty-five. Also, the linear codes generated by an incidence matrix of points and lines of were studied over different finite fields.