Some application of coding theory in the projective plane of order three

  • Najm A. M. AL-Seraji Department of Mathematics, College of Science, University of Mstansiriyah, Baghdad, Iraq
  • Raad I. K. AL-Humaidi Department of Mathematics, College of Science, University of Mstansiriyah, Baghdad, Iraq

Abstract

The main aim of this paper is to introduce the relationship between the topic of coding theory and the projective plane of order three. The maximum value of size of code over finite field of order three and an incidence matrix with the parameters,  (length of code),  (minimum distance of code) and  (error-correcting of code ) have been constructed. Some examples and theorems have been given.

Published
Oct 31, 2018
How to Cite
AL-SERAJI, Najm A. M.; AL-HUMAIDI, Raad I. K.. Some application of coding theory in the projective plane of order three. Iraqi Journal of Science, [S.l.], p. 1947-1951, oct. 2018. ISSN 2312-1637. Available at: <http://scbaghdad.edu.iq/eijs/index.php/eijs/article/view/487>. Date accessed: 12 nov. 2018.
Section
Mathematics