EQUIVALENCE CLASSES ON BH(4,2K) BUTSON HADAMARD MATRICES
In this final project, the author discusses about equivalence classes on BH(4, 2k) Butson Hadamard matrices and also about a construction of Hadamard matrices from Compton and Craigen (2015). This construction takes a BH(n, 6) as an input in order to construct a Hadamard matrice of order 4n. The...
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| Format: | Final Project |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/55023 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | In this final project, the author discusses about equivalence classes on BH(4, 2k)
Butson Hadamard matrices and also about a construction of Hadamard matrices
from Compton and Craigen (2015). This construction takes a BH(n, 6) as an
input in order to construct a Hadamard matrice of order 4n. The search of equivalence
classes is based on parameterization of the BH(4, 2k) matrix, followed by
some analysis on the submatrices. The results can depict the equivalence classes
of BH(4, 2k) Butson Hadamard Matrices and shows the number of equivalence
classes for every k. On the other hand, the authors find several subclasses of the
Butson Hadamard matrixBH(n, 6) which retain their equivalence even though they
have been mapped with the mapping found by Compton and Craigen. |
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