SBIBD(4k 2, 2k 2 +k,k 2 +k) and Hadamard matrices of order 4k 2 with maximal excess are equivalent
نویسندگان
چکیده
منابع مشابه
Hadamard matrices of order =8 (mod 16) with maximal excess
Kounias and Farmakis, in 'On the excess of Hadamard matrices', Discrete Math. 68 (1988) 59-69, showed that the maximal excess (or sum of the elements) of an Hadamard matrix of order h, o(h) for h = 4m(m -1) is given by o(4m(m 1))≤4(m 1)2(2m + 1). Kharaghani in 'An infinite class of Hadamard matrices of maximal excess' (to appear) showed this maximal excess can be attained if m is the order of a...
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متن کاملExistence of SBIBD(4k2, 2k2±k, k2±k) and Hadamard matrices with maximal excess
It is shown that SBIED(4k 2 , 2Jc 2 ± k, P ± k) and Hadamard matrices with maximal excess exist for qs,q {q:q 1 (mod 4) is a prime power}, + 1, g the length of a Golay sequence}. There a proper n dimensional Hadamard matrix of order (4k2)n. Regular symmetric Hadamard matrices with constant diagonal are obtained for orders 4k2 whenever complete regular 4-sets of regular matrices of order k 2 exist.
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ژورنال
عنوان ژورنال: Graphs and Combinatorics
سال: 1989
ISSN: 0911-0119,1435-5914
DOI: 10.1007/bf01788694