New 5-designs
نویسندگان
چکیده
منابع مشابه
Trading 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...
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Hitherto, all known non-trivial Steiner systems S(5, k, v) have, as a group of automorphisms, either PSL(2, v − 1) or PGL(2, v−2 2 ) × C2. In this paper, systems S(5, 6, 72), S(5, 6, 84) and S(5, 6, 108) are constructed that have only the trivial automorphism group.
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The experimental study reported here is intended to evolve new designs of stilling basins for deep and narrow openings used as outlets. Several appurtenances such as grid, Impact wall, stepped wall, weir wall, sloping end sill and wedge shaped blocks are used to study their influence on the hydraulic performance of the stilling basins with an aim to propose efficient stilling basin models. All ...
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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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Box and Behnken (1960) constructed 10 three-level, second-order designs, while their 1958 technical report contained seven additional designs. This series of designs is based on combining 2 or 2 designs in different subsets of the t factors, with k < t. The subsets of size k were determined using balanced (or partially balanced) incomplete block designs. This present article offers additional B...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory
سال: 1969
ISSN: 0021-9800
DOI: 10.1016/s0021-9800(69)80115-8