Construction of some SBIBD (4k2, 2k2 + k, k2 + k) and Hadamard matrices with maximal excess

Abstract It is shown that SBIBD(4 k 2 , 2 k 2 + k , k 2 + k ) and Hadamard matrices with maximal excess exist for k =141, 177, 217, 231. This leaves the following odd k

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