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A Construction for Orthogonal Designs with Three Variables

Chapter


Abstract


  • We show how orthogonal designs OD(48p2t;16p2t, 16p2t,16p2t) can be constructed from an Hadamard matrix of order 4p and an OD(4t;t,t,t,t). This allows us to assert that OD(48,p2t; 16p2t,16p2t) exist for all t, p≤102 except possibly for t∈{67,71,73,77,76,83,86,89,91,97}. These designs are new. © 1987, Elsevier B.V.

Publication Date


  • 1987

Citation


  • Seberry, J. (1987). A Construction for Orthogonal Designs with Three Variables. In Unknown Book (Vol. 149, pp. 437-440). doi:10.1016/S0304-0208(08)72909-8

Scopus Eid


  • 2-s2.0-77956939071

Web Of Science Accession Number


Book Title


  • North-Holland Mathematics Studies

Start Page


  • 437

End Page


  • 440

Abstract


  • We show how orthogonal designs OD(48p2t;16p2t, 16p2t,16p2t) can be constructed from an Hadamard matrix of order 4p and an OD(4t;t,t,t,t). This allows us to assert that OD(48,p2t; 16p2t,16p2t) exist for all t, p≤102 except possibly for t∈{67,71,73,77,76,83,86,89,91,97}. These designs are new. © 1987, Elsevier B.V.

Publication Date


  • 1987

Citation


  • Seberry, J. (1987). A Construction for Orthogonal Designs with Three Variables. In Unknown Book (Vol. 149, pp. 437-440). doi:10.1016/S0304-0208(08)72909-8

Scopus Eid


  • 2-s2.0-77956939071

Web Of Science Accession Number


Book Title


  • North-Holland Mathematics Studies

Start Page


  • 437

End Page


  • 440