A construction for generalized hadamard matrices |
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Authors: | Jennifer Seberry |
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Institution: | University of Sydney, Sydney, Australia |
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Abstract: | We prove that if pr and pr ? 1 are both prime powers then there is a generalized Hadamard matrix of order pr(pr ? 1) with elements from the elementary abelian group Zp x?x Zp. This result was motivated by results of Rajkundia on BIBD's. This result is then used to produce pr ? 1 mutually orthogonal F-squares F(pr(pr ? 1); pr ? 1). |
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Keywords: | Primary 62K10 62K15 Secondary 05B15 |
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