منابع مشابه
Some New 4-Designs
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.
متن کاملTrading Signed Designs and Some new 4-(12, 5, 4) Designs
Variations of the trade-off method exist in the literature of design theory and have been utilized by some authors to produce some t-designs with or without repeated blocks. In this paper we explore a new version of this algorithmic method (i) to produce 20 nonisomorphic and rigid 4-(12, 5, 4) designs, (ii) to study the spectrum of support sizes of 4-(12, 5, 4) designs. Along these, we also pre...
متن کاملSome New Steiner 2-Designs S(2, 4, 37)
Automorphisms of Steiner 2-designs S(2, 4, 37) are studied and used to find many new examples. Some of the constructed designs have S(2, 3, 9) subdesigns, closing the last gap in the embedding spectrum of S(2, 3, 9) designs into S(2, 4, v) designs.
متن کاملNew spherical 4-designs
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;...
متن کاملSome new D-optimal designs
We construct several new (v; r, 8; A) supplementary difference sets with v odd and T' + .5 = A + (v 1) /2. They give rise to D-optimal designs of order 2v. D-optimal designs of orders 158, 194, and 290 are constructed here for the first time. We also give an up to date survey of this class of supplementary difference sets in arbitrary Abelian groups of odd order v < 100. o. Introduction Supplem...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 2001
ISSN: 0097-3165
DOI: 10.1006/jcta.2000.3070