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Near-self-complementary designs and a method of mixed sums

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Part of the Lecture Notes in Mathematics book series (LNM,volume 686)

Abstract

An important class of BIBDs is that of (strongly) self-complementary-designs, designs which are invariant under complementation. Their parameter sets satisfy the relation v=2k, yet for k odd, there are an infinity of parameter sets which cannot be realized as self-complementary designs. For these parameters the idea of near-self-complementary designs is introduced. These designs have many aspects similar to self-complementary designs.

An extension of Bose's method of mixed differences is introduced and is applied to show the residuality of certain near-self-complementary designs.

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References

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© 1978 Springer-Verlag

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Mullin, R.C., Stinson, D. (1978). Near-self-complementary designs and a method of mixed sums. In: Holton, D.A., Seberry, J. (eds) Combinatorial Mathematics. Lecture Notes in Mathematics, vol 686. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062517

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  • DOI: https://doi.org/10.1007/BFb0062517

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08953-7

  • Online ISBN: 978-3-540-35702-5

  • eBook Packages: Springer Book Archive