Hajir Hayder Abdullah1,a) and Nada Yassen Kasm Yahya2,b)
1Department of Mathematics, College of Education for Pure Science, University of Mosul, Mosul, Iraq
2Department of Mathematics, College of Education for Pure Science, University of Mosul, Mosul, Iraq
DOI: https://doi.org/10.31972/ticma22.14
Abstract
The main aim of this paper is to introduce the relationship between the topic of coding theory and the projective space in field three and test the code. The maximum value of size of code over finite field of order three and an incidence matrix with the parameters, n (length of code), d (minimum distance of code) and e (error-correcting of code) have been constructed. With a theorem and a result that test the code if it is perfect or not.
Key Words: Coding Theory, Projective Space, finite field.
