منابع مشابه
Some new families of simple t-designs
Applying some methods of construction on existing i-designs, we obtain some infinite families of new simple designs. We give a table which contains many new simple designs in small cases. The main method which is called the union method, involves taking the union of every two blocks in a given design. We also combine this method with some other well known ones. Some of the new designs obtained ...
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Hardin, R.H. and N.J.A. Sloane, New spherical 4-designs, Discrete Mathematics 106/107 (1992) 255-264. This paper gives a number of new spherical 4-designs, and presents numerical evidence that spherical 4-designs containing n points in k-dimensional space with k G 8 exist precisely for the following values of n and k: n even and 22 for k = 1; n 2 5 for k = 2; n = 12, 14, >I6 for k=3;n~2Ofork=4;...
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The existence question for the family of 4-(15, 5, λ) designs has long been answered for all values of λ except λ = 2. Here, we resolve this last undecided case and prove that 4-(15, 5, 2) designs are constructible.
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Strong difference families are an interesting class of discrete structures which can be used to derive relative difference families. Relative difference families are closely related to 2-designs, and have applications in constructions for many significant codes, such as optical orthogonal codes and optical orthogonal signature pattern codes. In this paper, with a careful use of cyclotomic condi...
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In this paper, we study saturated two-level main effects designs which are commonly used for screening experiments. The QB criterion, which incorporates experimenters’ prior beliefs about the probability of factors being active is used to compare designs. We show that under priors with more weight on models of small size, p-efficient designs should be recommended; when models with more paramete...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1974
ISSN: 0012-365X
DOI: 10.1016/0012-365x(74)90007-7