Graphs and Combinatorics

, Volume 2, Issue 1, pp 277–282 | Cite as

On orthogonal arrays of strength 3 and 5 achieving Rao's bound

  • Ryuzaburo Noda
Article

Abstract

It is shown that ifA is an orthogonal array (N, n, q, 3) achieving Rao's bound, thenA is either
  1. (i)

    an orthogonal array (2n, n, 2, 3) withn ≡ 0 (mod 4), or

     
  2. (ii)

    an orthogonal array (q3,q + 2,q, 3) withq even.

     

This result should be compared with a theorem of P.J. Cameron on extendable symmetric designs.

It is also shown that ifA is an orthogonal array (N, n, q, 5) achieving Rao's bound, thenA is either the orthogonal array (32, 6, 2, 5) or the orthogonal array (36, 12, 3, 5).

Keywords

Orthogonal Array Symmetric Design 

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References

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Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • Ryuzaburo Noda
    • 1
  1. 1.Department of Mathematics, College of Liberal Arts and SciencesOkayama UniversityTsushima, OkayamaJapan

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