We use the BN-pair structure for the general linear group to write a suitable listing of the elements of the finite group $GL(2,q)$ 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.
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Articles |
Authors | |
Publication Date | December 25, 2018 |
Submission Date | September 21, 2018 |
Acceptance Date | November 15, 2018 |
Published in Issue | Year 2018 Volume: 1 Issue: 2 |