Graphs and Combinatorics

, Volume 3, Issue 1, pp 81–89 | Cite as

On schematic orthogonal arraysOA(q t ,k, q, t)

  • Mitsuo Yoshizawa


Am × k matrixA, with entries from a set ofq ≧ 2 elements, is called an orthogonal arrayOA(m, k, q, t) (t ≧ 2) if eachm × t submatrix ofA contains all possible 1 ×t row vectors with the same frequencyλ(m = λq t ). We call the array schematic if the set of rows ofA forms an association scheme with the relations determined by the Hamming distance. In this paper we determine the schematic orthogonal arraysOA(q t ,k, q, t) with2t − 1 > k.


Association Scheme 
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Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • Mitsuo Yoshizawa
    • 1
  1. 1.Department of MathematicsJosai UniversityKeyakidai, SakadoJapan

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