Skip to main content

Kronecker products of systems of orthogonal designs

  • Contributed Papers
  • Conference paper
  • First Online:
Combinatorial Mathematics X

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1036))

  • 510 Accesses

Abstract

The concept of a system of orthogonal designs enables many of the construction techniques of orthogonal design theory to be unified and generalized by one theorem.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. M. Burrow, Representation Theory of Finite Groups (Academic Press, New York and London, 1965).

    Book  MATH  Google Scholar 

  2. H.M. Gastineau-Hills, Quasi Clifford Algebras and Systems of Orthogonal Designs, J. Aust. Math. Soc. [To appear]

    Google Scholar 

  3. A.V. Geramita, J.M. Geramita, J. Seberry (Wallis), Orthogonal Designs, Linear and Multilinear Algebra, 3(1975/76), 281–306.

    Article  MathSciNet  MATH  Google Scholar 

  4. A.V. Geramita, J. Seberry, Orthogonal Designs: Quadratic Forms and Hadamard Matrices, (Marcel Dekker, New York, 1979).

    MATH  Google Scholar 

  5. P.J. Robinson, Using Product Designs to Construct Orthogonal Designs, Bull. Austral. Math. Soc., 16(1977), 297–305.

    Article  MathSciNet  MATH  Google Scholar 

  6. P.J. Robinson, J. Seberry, Orthogonal Designs in Fowers of Two, Ars Combinatoria, 4(1977), 43–57.

    MathSciNet  MATH  Google Scholar 

  7. W. Wolfe, Orthogonal Designs — Amicable Orthogonal Designs (Ph.D. Thesis, Queen's University Kingston, Ontario, Canada, 1975).

    MATH  Google Scholar 

Download references

Authors

Editor information

Louis Reynolds Antoine Casse

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Springer-Verlag

About this paper

Cite this paper

Gastineau-Hills, H.M. (1983). Kronecker products of systems of orthogonal designs. In: Casse, L.R.A. (eds) Combinatorial Mathematics X. Lecture Notes in Mathematics, vol 1036. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071519

Download citation

  • DOI: https://doi.org/10.1007/BFb0071519

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12708-6

  • Online ISBN: 978-3-540-38694-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics