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ISSN 2234-8417 (Online)
ISSN 1598-5857 (Print)
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Table of Contents |
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 A META-SOFTWARE SYSTEM FOR ORTHOGONAL DESIGNS AND HADAMARD MATRICES |
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By I. S. KOTSIREAS, C. KOUKOUVINO
..........1280 |
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 Generic
Number - 1280 |
| References
- 0 |
| Written
Date -
September 20th, 11 |
| Modified
Date -
September 20th, 11 |
| Downloaded
Counts - 1163 |
| Visited
Counts - 3919 |
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| Original
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| Summary |
In this paper, we construct inequivalent Hadamard matrices
based on several new and old full orthogonal designs, using circulant and
symmetric block matrices. Not all orthogonal designs produce inequivalent
Hadamard matrices, because the corresponding systems of equations do
not possess solutions. The systems of equations arising when we search for
inequivalent Hadamard matrices from full orthogonal designs using circu-
lant and symmetric block matrices, can be concisely described using the
periodic autocorrelation function of the generators of the block matrices.
We use Maple, Magma, C and Unix tools to find many new inequivalent Hadamard
matrices. |
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