| T. Beth, D. Jungnickel, H. Lenz: Design Theory, 2nd edition, Encyclopedia of Mathematics and Its Applications , Vols. 69 and 78, (Cambridge Univ Press 2000) 50 |
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T. Beth, D. Jungnickel, H. Lenz: Design Theory, 2nd edition, Encyclopedia of Mathematics and Its Applications , Vols. 69 and 78, (Cambridge Univ Press 2000) 50
....leads to the standard examples of. Group theory helps to construct examples of such bases for any dimension d, but this construction by no means exhausts the possibilities. A fairly general construction is given in [29] It requires two combinatorial structures known from classical design theory [37]: a Latin square of order d, i.e. a matrix in which each row and column is a permutation of (1, d) and d Hadamard matrices, i.e. unitary d d matrices, in which each entry has modulus d 1 2 .For neither Latin squares nor Hadamard matrices an exhaustive construction exists, so these are ....
T.Beth,D.Jungnickel,H.Lenz:Design Theory, 2nd edition, Encyclopedia of Mathematics and Its Applications , Vols. 69 and 78, (Cambridge Univ Press 2000) 50
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