CHARACTERIZATION OF Q-CIRCULANT ORTHOGONAL MDS MATRICES
In 2019, Cauchois and Loidreau gave necessary and sufficient conditions for a matrix over a finite field to be a q-circulant involutory MDS matrices via q-polynomial ring. In this thesis, we prove that the transpose of a q-circulant matrix is also a q-circulant matrix. Moreover, we also give nece...
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id-itb.:612892021-09-24T15:41:52ZCHARACTERIZATION OF Q-CIRCULANT ORTHOGONAL MDS MATRICES Adhiguna, Ichlas Indonesia Theses MDS matrices, q-polynomial ring, q-circulant matrices, orthogonal matrices. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/61289 In 2019, Cauchois and Loidreau gave necessary and sufficient conditions for a matrix over a finite field to be a q-circulant involutory MDS matrices via q-polynomial ring. In this thesis, we prove that the transpose of a q-circulant matrix is also a q-circulant matrix. Moreover, we also give necessary and sufficient conditions for a q-circulan matrix to be an orthogonal matrix via q-polynomial ring. text |
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Institut Teknologi Bandung |
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Asia |
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Indonesia Indonesia |
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Indonesia |
| description |
In 2019, Cauchois and Loidreau gave necessary and sufficient conditions for a
matrix over a finite field to be a q-circulant involutory MDS matrices via
q-polynomial ring. In this thesis, we prove that the transpose of a q-circulant
matrix is also a q-circulant matrix. Moreover, we also give necessary and
sufficient conditions for a q-circulan matrix to be an orthogonal matrix via
q-polynomial ring. |
| format |
Theses |
| author |
Adhiguna, Ichlas |
| spellingShingle |
Adhiguna, Ichlas CHARACTERIZATION OF Q-CIRCULANT ORTHOGONAL MDS MATRICES |
| author_facet |
Adhiguna, Ichlas |
| author_sort |
Adhiguna, Ichlas |
| title |
CHARACTERIZATION OF Q-CIRCULANT ORTHOGONAL MDS MATRICES |
| title_short |
CHARACTERIZATION OF Q-CIRCULANT ORTHOGONAL MDS MATRICES |
| title_full |
CHARACTERIZATION OF Q-CIRCULANT ORTHOGONAL MDS MATRICES |
| title_fullStr |
CHARACTERIZATION OF Q-CIRCULANT ORTHOGONAL MDS MATRICES |
| title_full_unstemmed |
CHARACTERIZATION OF Q-CIRCULANT ORTHOGONAL MDS MATRICES |
| title_sort |
characterization of q-circulant orthogonal mds matrices |
| url |
https://digilib.itb.ac.id/gdl/view/61289 |
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1822931612728295424 |