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  3. Combinatorics of Symmetric Designs
  • Cited by 62
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    • Publisher:
      Cambridge University Press
      Publication date:
      February 2010
      May 2006
      ISBN:
      9780511542992
      9780521818339
      DOI:
      https://doi.org/10.1017/CBO9780511542992
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.982kg, 534 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics (general), Mathematics, Discrete Mathematics Information Theory and Coding
      Series:
      New Mathematical Monographs (5)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Discrete Mathematics Information Theory and Coding
    Series:
    New Mathematical Monographs (5)
    Information

    Book description

    The aim of this book is to provide a unified exposition of the theory of symmetric designs with emphasis on recent developments. The authors cover the combinatorial aspects of the theory giving particular attention to the construction of symmetric designs and related objects. The last five chapters of the book are devoted to balanced generalized weighing matrices, decomposable symmetric designs, subdesigns of symmetric designs, non-embeddable quasi-residual designs, and Ryser designs. Most results in these chapters have never previously appeared in book form. The book concludes with a comprehensive bibliography of over 400 entries. Researchers in all areas of combinatorial designs, including coding theory and finite geometries, will find much of interest here. Detailed proofs and a large number of exercises make this book suitable as a text for an advanced course in combinatorial designs.

    Reviews

    'Most results in these chapters have never appeared in book form. Researchers in all areas of combinational designs, including coding theory and finite geometries, will find much of interest here. Detailed proofs and a large number of exercises make this book suitable as a text for an advance course in combinatorial designs.'

    Source: L'enseignement mathematique

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