Some new orthogonal designs in orders 32 and 40

@article{Kharaghani2004SomeNO,
  title={Some new orthogonal designs in orders 32 and 40},
  author={Hadi Kharaghani and Behruz Tayfeh-Rezaie},
  journal={Discrete Mathematics},
  year={2004},
  volume={279},
  pages={317-324}
}
A result of Robinson states that no OD(n; 1, 1, 1, 1, 1, n− 5) exists for n > 40. We complement this result by showing the existence of OD(n; 1, 1, 1, 1, 1, n− 5) for n = 32, 40. This includes a resolution to an old open problem regarding orthogonal designs of order 32 as well. We also obtain a number of new orthogonal designs of order 32. 

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Showing 1-8 of 8 references

A non-existence theorem for orthogonal designs

  • Peter J. Robinson
  • Utilitas Math
  • 1976
Highly Influential
5 Excerpts

Orthogonal designs, in: The CRC handbook of combinatorial designs (C

  • Jennifer Seberry, R. Craigen
  • CRC Press Series on Discrete Mathematics and its…
  • 1996
1 Excerpt

Orthogonal Designs: Quadratic Forms and Hadamard Matrices

  • A. V. Geramita, Jennifer Seberry
  • 1979

Robinson , The existence of orthogonal designs of order sixteen

  • J. Peter
  • Ars Combin .
  • 1979

Robinson , A non - existence theorem for orthogonal designs

  • J. Peter
  • Utilitas Math .
  • 1977

Robinson , Orthogonal designs in order 24 , Combinatorial mathematics

  • J. Peter
  • Fifth Austral . Conf . , Roy . Melbourne Inst…
  • 1977

The existence of orthogonal designs of order sixteen

  • Peter J. Robinson
  • Ars Combin
  • 1977
1 Excerpt

Orthogonal designs in order 24, Combinatorial mathematics, V (Proc

  • Peter J. Robinson
  • Fifth Austral. Conf., Roy. Melbourne Inst. Tech…
  • 1976
1 Excerpt

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