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Checkered Hadamard Matrices of Order 16

✍ Scribed by R.W. Goldbach; H.L. Claasen

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 112 KB
Volume: 19
Category: Article
ISSN: 0195-6698
DOI: 10.1006/eujc.1998.0250

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✦ Synopsis

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 Hadamard matrices of order 16 all belong to one of the Hall's classes I, II or III. Moreover the so-called block equivalency classes are determined.

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