New Applications of Coding Theory in The Projective Space of Order Three

New Applications of Coding Theory in The Projective Space of Order Three

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 dis...

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Bibliographic Details
Published in:Zanco journal of pure and applied sciences Vol. 34; no. s6
Main Author: Hajir Hayder Abdullah ,Nada Yassen Kasm Yahya
Format: Journal Article
Language:English
Published: Salahaddin University-Erbil 21-12-2022
Subjects:
coding theory
finite field
projective space
Online Access:Get full text
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Summary: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."
ISSN:2218-0230
2412-3986
DOI:10.21271/ZJPAS.34.s6.14