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A construction for generalized hadamard matrices

Journal Article


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). © 1980.

Publication Date


  • 1980

Citation


  • Seberry, J. (1980). A construction for generalized hadamard matrices. Journal of Statistical Planning and Inference, 4(4), 365-368. doi:10.1016/0378-3758(80)90021-X

Scopus Eid


  • 2-s2.0-0008918111

Web Of Science Accession Number


Start Page


  • 365

End Page


  • 368

Volume


  • 4

Issue


  • 4

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). © 1980.

Publication Date


  • 1980

Citation


  • Seberry, J. (1980). A construction for generalized hadamard matrices. Journal of Statistical Planning and Inference, 4(4), 365-368. doi:10.1016/0378-3758(80)90021-X

Scopus Eid


  • 2-s2.0-0008918111

Web Of Science Accession Number


Start Page


  • 365

End Page


  • 368

Volume


  • 4

Issue


  • 4