Construction the linear codes in PG (1, 31)

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 .

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Published

2023-06-30

Issue

Vol 64 No 6 (2023)

Section

Mathematics

How to Cite

Construction the linear codes in PG (1, 31). (2023). Iraqi Journal of Science, 64(6), 3022-3035. https://doi.org/10.24996/ijs.2023.64.6.30
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