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Classification of 3-(24, 12, 5) designs and 24-dimensional Hadamard matrices. (English) Zbl 0477.05019

MSC:
05B20 Combinatorial aspects of matrices (incidence, Hadamard, etc.)
05B05 Combinatorial aspects of block designs
05A15 Exact enumeration problems, generating functions
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References:
[1] Hall, M, Combinatorial theory, (1967), Ginn (Blaisdell) Boston · Zbl 0196.02401
[2] Hall, M, Hadamard matrices of order 16, J. P. L. research summary no. 36-10. 1, 21-26, (1961)
[3] Hall, M, Note on the Mathieu group M12, Arch. math., 13, 334-340, (1962) · Zbl 0109.25704
[4] \scM. Hall, Jr., “Hadamard Matrices of Order 20,” J. P. L. Technical Report No. 32-761.
[5] N. Ito, J. S. Leon, and J. Q. Longyeear, The 24-dimensional Hadamard matrices and their automorphism groups, unpublished.
[6] \scN. Ito, J. S. Leon, and J. Q. Longyear, The 3-(24, 12, 5) designs and their automorphism groups, unpublished. · Zbl 0477.05019
[7] Kimberley, M.E, On the construction of certain Hadamard designs, Math. Z., 119, 41-59, (1971) · Zbl 0196.02501
[8] Leon, J.S, An algorithm for computing the automorphism group of a Hadamard matrix, J. combin. theory ser. A, 27, 289-306, (1979) · Zbl 0435.20002
[9] \scJ. S. Leon, Automorphism groups of Hadamard matrices, to appear.
[10] \scJ. S. Leon, Equivalence of Hadamard matrices, to appear.
[11] Longyear, J.Q, There is one Hadamard matrix of order 24 and both characters 1, (), New York · Zbl 0204.57101
[12] Longyear, J.Q, If a Hadamard of order 24 has character exactly 2, its transpose is known, (), 353-363 · Zbl 0375.05009
[13] Longyear, J.Q, Order 24 Hadamard matrices of character at least 3, J. combin. theory ser. A, 27, 100-118, (1979) · Zbl 0447.05015
[14] Ryser, H.J, Combinatorial mathematics, (1963), Math. Assoc. Amer Washington, D. C · Zbl 0112.24806
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