Balanced arrays of strength two and nested ( r , λ )-designs

@inproceedings{Kuriki2003BalancedAO,
  title={Balanced arrays of strength two and nested ( r , λ )-designs},
  author={Shinji Kuriki},
  year={2003}
}
An (r,λ)-design with mutually balanced nested subdesigns ( for brevity, (r,λ)-design with MBN ) is introduced firstly in this paper. It is shown that an (r,λ)design with MBN is equivalent to a balanced array of strength 2 with s symbols. By the use of a nested design and an orthogonal array, a construction of an (r,λ)design with MBN is given. A direct construction of such an (r,λ)-design, based on the result obtained by Wilson (1972), is also given. By these constructions, new balanced arrays… CONTINUE READING

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