All 708 103 nonisomorphic Steiner systems S(16, 4, 3) of order 16 and rank 14 over F 2 are enumerated. Among them there are exactly 1059 homogeneous systems. It is shown that all the 708 103 Steiner systems can be obtained by the general doubling construction presented in the paper.
Problems of Information Transmission – Springer Journals
Published: Oct 18, 2006
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