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Balanced ternary designs with block size three

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Part of the Lecture Notes in Mathematics book series (LNM,volume 829)

Abstract

A balanced ternary design (BTD) is a balanced design on V elements with constant block size in which each element may occur 0, 1 or 2 times in each block. The condition V≡0 (mod 3) is shown to be both necessary and sufficient for the existence of a BTD on V elements with block size 3 and index 2 in which each element is repeated in exactly one block and each element occurs in a constant number of blocks.

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References

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© 1980 Springer-Verlag

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Morgan, E.J. (1980). Balanced ternary designs with block size three. In: Robinson, R.W., Southern, G.W., Wallis, W.D. (eds) Combinatorial Mathematics VII. Lecture Notes in Mathematics, vol 829. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088912

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  • DOI: https://doi.org/10.1007/BFb0088912

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10254-0

  • Online ISBN: 978-3-540-38376-5

  • eBook Packages: Springer Book Archive