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IPM
30
YEARS OLD

“School of Mathematics”

Paper   IPM / M / 2352
   School of Mathematics
  Title: Some new orthogonal designs in order 32 and 40
  Author(s):
1 . H. Kharaghani
2 . B. Tayfeh-Rezaie
  Status: Published
  Journal: Discrete Math.
  Vol.: 279
  Year: 2004
  Pages: 317-324
  Supported by: IPM
  Abstract:
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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