| 11. | Hadamard matrix is formed by rearranging the rows so that the number of sign-changes in a row is in increasing order.
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| 12. | The circulant Hadamard matrix conjecture, however, asserts that, apart from the known 1? and 4? examples, no such matrices exist.
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| 13. | The Hadamard code, by contrast, is constructed from the Hadamard matrix H _ { 2 ^ n } by a slightly different procedure.
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| 14. | The number of Hadamard designs from each Hadamard matrix is 23 choose 6; that is 100, 947 designs from each 24?4 Hadamard matrix.
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| 15. | The number of Hadamard designs from each Hadamard matrix is 23 choose 6; that is 100, 947 designs from each 24?4 Hadamard matrix.
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| 16. | For the second FEC layer : every ASCII character is encoded as one of 64 possible Walsh functions ( or vectors of a Hadamard matrix ).
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| 17. | In that case, other statistical methods may be used to fractionate a Hadamard matrix in such a way that allows only a tolerable amount of aliasing.
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| 18. | This construction demonstrates that the rows of the Hadamard matrix H _ { 2 ^ n } can be viewed as a length 2 ^ n linear generating matrix F _ n.
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| 19. | Given an Hadamard matrix of size 4 " a " in standardized form, remove the first row and first column and convert every " 1 to a 0.
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| 20. | Let " H " be an Hadamard matrix of order 4 " m " in standardized form ( first row and column entries are all + 1 ).
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