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Classification Algorithms for Codes and Designs by Petteri Kaski, Patric R. J. Ostergard - Paperback
770.70 AED

Classification Algorithms for Codes and Designs by Petteri Kaski, Patric R. J. Ostergard - Paperback

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Category Type
Mathematics
ISBN
9783642432507
Author
Petteri Kaski, Patric R. J. Ostergard
Publisher
Springer
Description:

A new starting-point and a new method are requisite, to insure a complete! classi?cation of the Steiner triple systems of order 15]. This method was furnished, and its tedious and di?cult execution und- taken, by Mr. Cole. F. N. Cole, L. D. Cummings, and H. S. White (1917)! 129] The history of classifying combinatorial objects is as old as the history of the objects themselves. In the ...

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    Specifications

    Category Type
    Mathematics
    ISBN
    9783642432507
    Languages
    English
    Item EAN
    2724437250453
    People
    Author
    Petteri Kaski, Patric R. J. Ostergard
    Category Type
    Mathematics
    ISBN
    9783642432507
    Languages
    English
    Item EAN
    2724437250453
    People
    Author
    Petteri Kaski, Patric R. J. Ostergard
    People
    Publisher
    Springer
    Technical Information
    Binding
    Paperback
    Languages and countries
    Book Language
    English
    Read more
  •  

    Description:

    A new starting-point and a new method are requisite, to insure a complete! classi?cation of the Steiner triple systems of order 15]. This method was furnished, and its tedious and di?cult execution und- taken, by Mr. Cole. F. N. Cole, L. D. Cummings, and H. S. White (1917)! 129] The history of

    A new starting-point and a new method are requisite, to insure a complete! classi?cation of the Steiner triple systems of order 15]. This method was furnished, and its tedious and di?cult execution und- taken, by Mr. Cole. F. N. Cole, L. D. Cummings, and H. S. White (1917)! 129] The history of classifying combinatorial objects is as old as the history of the objects themselves. In the mid-19th century, Kirkman, Steiner, and others became the fathers of modern combinatorics, and their work on various objects, including (what became later known as) Steiner triple systems led to several classi?cation results. Almost a century earlier, in 1782, Euler! 180] published some results on classifying small Latin squares, but for the ?rst few steps in this direction one should actually go at least as far back as ancient Greece and the proof that there are exactly ?ve Platonic solids. One of the most remarkable achievements in the early, pre-computer era is the classi?cation of the Steiner triple systems of order 15, quoted above. An onerous task that, today, no sensible person would attempt by hand calcu- tion. Because, with the exception of occasional parameters for which com- natorial arguments are e?ective (often to prove nonexistence or uniqueness), classi?cation in general is about algorithms and computation.

    Product Features:
    • Category: Mathematics
    • Binding: Paperback
    • Language of Text: English
    • Author(s): Petteri Kaski, Patric R. J. Ostergard
    • Publisher: Springer
    • ISBN: 9783642432507
    • Number of Pages: 412
    • Dimensions: 9.21 x 6.14 x 0.87 inches
 

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