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- W2042995068 abstract "A necessary condition for the existence of a Kirkman square KS3(v) is v ≡ 3 (mod 6). It is known that for all v sufficiently large and v ≡ 3 (mod 6) that such a design exists. In order to settle the existence question completely a number of small designs must be constructed directly. Of the 14 possible orders less than 100 only 4 are currently known to exist. In this paper we establish the existence of one more design with order less than 100; namely, v = 51." @default.
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- W2042995068 date "1985-01-01" @default.
- W2042995068 modified "2023-09-25" @default.
- W2042995068 title "A Kirkman square of order 51 and block size 3" @default.
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- W2042995068 doi "https://doi.org/10.1016/s0012-365x(85)80026-1" @default.
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