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doi:10.1016/0012-365X(94)90024-8 
Copyright © 1994 Published by Elsevier Science B.V. All rights reserved.
Classification of Hadamard matrices of order 28
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Hiroshi Kimura
Received 25 September 1992.
Available online 27 March 2002.
Abstract
We constructed all inequivalent Hadamard matrices with Hall sets of order 28 and classified by K-matrices associated with Hadamard matrices except five matrices in our earlier work (Kimura, 1988)(see also Kimura, to appear; Kimura and Ohmori, 1987). In this paper we prove that Hadamard matrices with the trivial K-matrix are equivalent to the Paley matrix defined by the squares in GF(27). By this theorem we get a complete classification of Hadamard matrices of order 28 and we have inequivalent Hadamard matrices of order 28.
