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Inequivalent projections of Hadamard matrices of orders 16 and 20

✍ Scribed by H. Evangelaras; S. Georgiou; C. Koukouvinos


Publisher
Springer
Year
2003
Tongue
English
Weight
140 KB
Volume
57
Category
Article
ISSN
0026-1335

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In this paper all the so-called checkered Hadamard matrices of order 16 are determined (i.e., Hadamard matrices consisting of 16 square blocks H i j of order 4 such that H ii = J 4 and H i j J 4 = J 4 H i j = 0 for i = j and where J 4 is the all-one matrix of order 4). It is shown that the checkered

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## Abstract We show that 138 odd values of __n__<10000 for which a Hadamard matrix of order 4__n__ exists have been overlooked in the recent handbook of combinatorial designs. There are four additional odd __n__=191, 5767, 7081, 8249 in that range for which Hadamard matrices of order 4__n__ exist.