Construction the linear codes in PG (1, 31)

Ahmed Khallaf Easa; Najm Abdulzahra Makhrib Al-Seraji

doi:10.24996/ijs.2023.64.6.30

Authors

Ahmed Khallaf Easa Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq
Najm Abdulzahra Makhrib Al-Seraji Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2023.64.6.30

Keywords:

Linear code, stabilizer group, generator matrix

Abstract

The goal of this paper is to construct the linear code, and its dual which corresponding to classification of projective line PG(1,31), we will present Some important results of coding theory, the generator matrix of every linear code in PG(1,31) is found, A parity check matrix is also found . The mathematical programming language GAP was a main computing tool .