Construction of q-ary(n,M,d)-codes in PG(2,16)

Construction of q-ary(n,M,d)-codes in PG(2,16)

The goal of this paper was to study the applications of the projective plane PG (2, q) over a Galois field of order q in the projective q-ary (n, M, d) -code such that the parameters length of code n, the maximum value size code M, and the minimum distance d with the error-correcting e according to...

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Bibliographic Details
Published in:Wasit Journal for Pure Sciences Vol. 2; no. 1; pp. 111 - 130
Main Authors: Fareeq Fendi, Dunya, Yassen Kasm Yahya, Nada
Format: Journal Article
Language:English
Published: College of Education for Pure Sciences 26-03-2023
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Summary:The goal of this paper was to study the applications of the projective plane PG (2, q) over a Galois field of order q in the projective q-ary (n, M, d) -code such that the parameters length of code n, the maximum value size code M, and the minimum distance d with the error-correcting e according to an incidence matrix have been calculated. Also, this research provides examples and theorems of links between the combinatorial structures and coding theory. The method of the research depends on the classification of the points and lines in PG (2, q).
ISSN:2790-5233
2790-5241
DOI:10.31185/wjps.110