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Generalized Bhaskar Rao designs

Journal Article


Abstract


  • Generalized Bhaskar Rao designs with non-zero elements from an abelian group G are constructed. In particular this paper shows that the necessary conditions are sufficient for the existence of generalized Bhaskar Rao designs with k=3 for the following groups: {curly logical or}G{curly logical or} is odd, G=Zr2, and G=Zr2×H where 3{does not divide} {curly logical or}H{curly logical or} and r≥1. It also constructs generalized Bhaskar Rao designs with υ=k, which is equivalent to υ rows of a generalized Hadamard matrix of order n where υ≤n. © 1984.

Publication Date


  • 1984

Citation


  • Lam, C., & Seberry, J. (1984). Generalized Bhaskar Rao designs. Journal of Statistical Planning and Inference, 10(1), 83-95. doi:10.1016/0378-3758(84)90034-X

Scopus Eid


  • 2-s2.0-0003079436

Web Of Science Accession Number


Start Page


  • 83

End Page


  • 95

Volume


  • 10

Issue


  • 1

Abstract


  • Generalized Bhaskar Rao designs with non-zero elements from an abelian group G are constructed. In particular this paper shows that the necessary conditions are sufficient for the existence of generalized Bhaskar Rao designs with k=3 for the following groups: {curly logical or}G{curly logical or} is odd, G=Zr2, and G=Zr2×H where 3{does not divide} {curly logical or}H{curly logical or} and r≥1. It also constructs generalized Bhaskar Rao designs with υ=k, which is equivalent to υ rows of a generalized Hadamard matrix of order n where υ≤n. © 1984.

Publication Date


  • 1984

Citation


  • Lam, C., & Seberry, J. (1984). Generalized Bhaskar Rao designs. Journal of Statistical Planning and Inference, 10(1), 83-95. doi:10.1016/0378-3758(84)90034-X

Scopus Eid


  • 2-s2.0-0003079436

Web Of Science Accession Number


Start Page


  • 83

End Page


  • 95

Volume


  • 10

Issue


  • 1