Abstract
There is not a more appropriate conclusion of a book on classification methods for designs than a discussion of the nonexistence of projective planes of order 10. Not only is this one of the main achievements on this topic – probably, the main – but it also illustrates how a variety of combinatorial results and ideas combined with extensive computations lead to a solution of this problem. Interestingly, codes, the other main type of objects considered in this book, play a central role in the approach.
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© 2006 Springer
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Kaski, P., Östergård, P.R. (2006). Nonexistence of Projective Planes of Order 10. In: Classification Algorithms for Codes and Designs. Algorithms and Computation in Mathematics, vol 15. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-28991-7_12
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DOI: https://doi.org/10.1007/3-540-28991-7_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28990-6
Online ISBN: 978-3-540-28991-3
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