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Using finite geometries to construct 3-PBIB(2) designs and 3-designs

Using finite geometries to construct 3-PBIB(2) designs and 3-designs Abstract The concept oft-PBIB design was introduced by, Wei Wandi and Yang Benfu as a generalization oft-design and PBIB design. In this paper, a number of 3-association schemes and 3-PBIB(2) designs are constructed on the bases of the finite vector space overFq and the finite unitary geometry overF q2. Then a number of 3-designs are constructed on the bases of the finite orthogonal geometries overFq. The parameters of all these designs are computed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics-A Journal of Chinese Universities Springer Journals

Using finite geometries to construct 3-PBIB(2) designs and 3-designs

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Publisher
Springer Journals
Copyright
1994 Editorial Committee of Applied Mathematics-A Journal of Chinese Universities
ISSN
1005-1031
eISSN
1993-0445
DOI
10.1007/BF02663778
Publisher site
See Article on Publisher Site

Abstract

Abstract The concept oft-PBIB design was introduced by, Wei Wandi and Yang Benfu as a generalization oft-design and PBIB design. In this paper, a number of 3-association schemes and 3-PBIB(2) designs are constructed on the bases of the finite vector space overFq and the finite unitary geometry overF q2. Then a number of 3-designs are constructed on the bases of the finite orthogonal geometries overFq. The parameters of all these designs are computed.

Journal

Applied Mathematics-A Journal of Chinese Universities – Springer Journals

Published: Sep 1, 1994

References

  • Studies on Finite Geometries and the Construction of Incomplete Block Designs
    Yang Benfu
  • Anzahl, theorem in finite singular symplectic unitary and orthogonal geometries
    Wan Zhexian
  • t-PBIB designs
    Wei Wandi, Yang Benfu
  • Yang Benfu and Wei Wandi, Finite unitary geometries and PBIB designs (1),J. Combin. Math. Combin. Comput,6 (1989).
    Yang Benfu and Wei Wandi, Finite unitary geometries and PBIB designs