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Titlebook: Designs 2002; Further Computationa W. D. Wallis Book 2003Latest edition Springer Science+Business Media New York 2003 algorithms.computer.c

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楼主: Harrison
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New Lower Bounds on the Maximum Number of Mutually Orthogonal Steiner Triple Systems,in one system fail to do so in the other. We define the quantity . (.) as the size of a maximum collection of pairwise orthogonal STS of order .. Special starters in the finite fields are used to improve the best known lower bounds on . (.) for prime-powers . ≡ 1 (mod 6), . < 500. Additionally, hill
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On Minimal Defining Sets in ,(,,3), the same parameters, two questions arise naturally:.Here we consider triple systems and latin squares. The first question leads to the ideas of a . in a triple system and of a . in a latin square. The second question leads to the ideas of a ., in particular a . defining set, in a triple system and
发表于 2025-3-29 00:24:31 | 显示全部楼层
Hadamard Matrices, Orthogonal Designs and Construction Algorithms,he discret Fourier transform and the two circulants construction..Next we move to algorithms to determine the equivalence of Hadamard matrices using the profile and projections of Hadamard matrices. A summary is then given which considers inequivalence of Hadamard matrices of orders up to 44..The fi
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Constructing a Class of Designs with Proportional Balance,Test to have a certain property. They have further application in experiments where efficient achievement of the purposes demands that some of the objects of study (varieties) occur more frequently in the experiment than do others. Subsequently, Gray extended the theoretical results relating to such
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Solving Isomorphism Problems for ,-Designs, for many cases where the designs are constructed with a common prescribed group of automorphisms by Kramer and Mesner’s approach [30]. The method is based on an analysis of group actions and improves on Burnside’s table of marks approach [15]. In particular, no knowledge of the full subgroup lattic
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Kirkman Triple Systems and Their Generalizations: A Survey,ade ago [51]. The study of various generalizations of the Kirkman Schoolgirl Problem remains a very active area of research, and much work has been done in the past ten years. This paper does not cover all of the topics discussed in Stinson’s survey; on the other hand we discuss several topics not c
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