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

Authors

  • 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

Keywords:

projective plane, coding theory, incidence matrix

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.

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Published

2018-10-31

Issue

Section

Mathematics

How to Cite

Some application of coding theory in the projective plane of order three. (2018). Iraqi Journal of Science, 59(4A), 1947-1951. https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/487

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