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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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發(fā)表于 2025-3-21 18:44:33 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱(chēng)Designs 2002
副標(biāo)題Further Computationa
編輯W. D. Wallis
視頻videohttp://file.papertrans.cn/270/269076/269076.mp4
叢書(shū)名稱(chēng)Mathematics and Its Applications
圖書(shū)封面Titlebook: Designs 2002; Further Computationa W. D. Wallis Book 2003Latest edition Springer Science+Business Media New York 2003 algorithms.computer.c
描述This volume is a sequel to our 1996 compilation, Computational and Constructive Design Theory. Again we concentrate on two closely re- lated aspects of the study of combinatorial designs: design construction and computer-aided study of designs. There are at least three classes of constructive problems in design theory. The first type of problem is the construction of a specific design. This might arise because that one particular case is an exception to a general rule, the last remaining case of a problem, or the smallest unknown case. A good example is the proof that there is no projective plane of parameter 10. In that case the computations involved were not different in kind from those which have been done by human brains without electronic assistance; they were merely longer. Computers have also been useful in the study of combinatorial spec- trum problems: if a class of design has certain parameters, what is the set of values that the parameters can realize? In many cases, there is a recursive construction, so that the existence of a small number of "starter" designs leads to the construction of infinite classes of designs, and computers have proven very useful in finding "sta
出版日期Book 2003Latest edition
關(guān)鍵詞algorithms; computer; construction; latin square; Notation; sets; combinatorics
版次2
doihttps://doi.org/10.1007/978-1-4613-0245-2
isbn_softcover978-1-4613-7958-4
isbn_ebook978-1-4613-0245-2
copyrightSpringer Science+Business Media New York 2003
The information of publication is updating

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978-1-4613-7958-4Springer Science+Business Media New York 2003
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https://doi.org/10.1007/978-3-322-90425-6in 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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https://doi.org/10.1007/978-3-322-90425-6 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
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https://doi.org/10.1007/978-3-322-90425-6what balanced .-ary designs can be used in this construction. We settle several open existence cases for BTDs (including both suitable and unsuitable designs for our construction), and provide a number of suitable B.Ds.
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