Coding Matrices for $GL(2,q)$

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Fundamental Journal of Mathematics and Applications
Volume:1 Issue:2
Coding Matrices for $GL(2,q)$

Coding Matrices for $GL(2,q)$

Authors : Ahmed A KHAMMASH, Marwa M HAMED

Pages : 118-130

Doi:10.33401/fujma.462055

View : 18 | Download : 7

Publication Date : 2018-12-25

Article Type : Research Paper

Abstract :We use the BN-pair structure for the general linear group to write a suitable listing of the elements of the finite group $GLinsert ignore into journalissuearticles values(2,q);$ which is then used to determine its ring of matrices. This approach of identifying finite group ring with ring of matrices has been used effectively to construct linear codes, benefiting from the ring-theoretic structure of both group rings and the ring of matrices.
Keywords : Group ring, G matrix, BN pair, Error correcting codes

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