| 1. | The concept is a generalization of the Hadamard matrix.
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| 2. | If a Hadamard matrix is normalized and fractionated, a design pattern is obtained.
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| 3. | Unfortunately, there may not be a Hadamard matrix of size " s ".
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| 4. | As a result, the smallest order for which no Hadamard matrix is presently known is 668.
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| 5. | Similar techniques can be applied for multiplications by matrices such as Hadamard matrix and the Walsh matrix.
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| 6. | The size of a Hadamard matrix must be 1, 2, or a multiple of 4.
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| 7. | This implementation follows the recursive definition of the 2N \ times 2N Hadamard matrix H _ N:
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| 8. | A Hadamard matrix of this order was found using a computer by Williamson, that has yielded many additional orders.
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| 9. | In 2005, Hadi Kharaghani and Behruz Tayfeh-Rezaie published their construction of a Hadamard matrix of order 428.
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| 10. | Thus, \ mathit { x K } is the standard form of some complex Hadamard matrix \ mathit { H }.
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