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On the existence of a projective plane of order 10. (English) Zbl 0251.05020

MSC:
05B25 Combinatorial aspects of finite geometries
94B99 Theory of error-correcting codes and error-detecting codes
62K10 Statistical block designs
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[1] Assmus, E.F, The projective plane of order ten?, (), March 30 to April 4, 1970. See also Part II of \scE. F. Assmus, Jr. and H. F. Mattson, Jr., The Algebraic Theory of Codes II, Air Force Cambridge Research Laboratories Report AFCRL-71-0013, Sylvania Electronic Systems, Needham Heights, Mass.
[2] Cairns, S, Computational attacks on discrete problems, Amer. math. monthly, 61, 29-31, (1954) · Zbl 0055.36303
[3] Hall, M, Numerical analysis of finite geometries, (), 11-21
[4] Hall, M, Combinatorial theory, (1967), Blaisdell Waltham, Mass, Ch. 12 · Zbl 0196.02401
[5] Hall, M; Swift, J.D; Killgrove, R.B, On projective planes of order 9, Math. comp., 13, 233-246, (1959) · Zbl 0094.33702
[6] Hall, M; Swift, J.D; Walker, R.J, Uniqueness of the projective plane of order eight, Math. tables and aids to computation, 10, 186-194, (1956) · Zbl 0073.36502
[7] Keedwell, A.D, A search for projective planes of a special type with the aid of digital computer, Math. comp., 19, 317-322, (1965) · Zbl 0138.41604
[8] Killgrove, R.B, A note on the nonexistence of certain projective planes of order nine, Math. comp., 14, 70-71, (1960) · Zbl 0100.15503
[9] Parker, E.T; Killgrove, R.B, A note on projective planes of order nine, Math. comp., 18, 506-508, (1964) · Zbl 0128.15202
[10] \scJ. G. Thompson, (to appear).
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