## Existence of Projective Planes

*Perrott, Xander*;

- Subject: Mathematics - Combinatorics | Mathematics - History and Overview

- References (14) 14 references, page 1 of 2
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[1] E. F. Assmus, Jr. and H. F. Mattson, Jr., On the Possibility of a Projective Plane of Order 10, Algebraic Theory of Codes II, Air Force Cambridge Research Laboratories Report AFCRL-71-0013, Sylvania Electronic Systems, Needleham Heights, Mass., 1970.

[2] R. C. Bose, On the application of the properties of Galois elds to the problem of construction of hyper-Graeco-Latin squares, Sankhya, 3 (1938) 323-338.

[3] R. H. Bruck and H. J. Ryser, The non-existence of certain projective planes, Can. J. Math., 1 (1949) 88-93.

[4] A. Bruen and J. C. Fisher, Blocking sets, k-arcs and Nets of Order Ten, Advances in Math., 10 (1973) 317-320.

[5] R. H. F. Denniston, Non-existence of a Certain Projective Plane, J. Austral. Math. Soc., 10 (1969) 214-218.

[6] L. Euler, Recherches sur une nouvelle espece de quarres magiques, Verh. Zeeuwsch. Genootsch. Wetensch Vlissengen, 9 (1782) 85-239.

[7] J. Karhstrom, On Projective Planes, Bachelor's Thesis, Mid Sweden University, 2002.

[8] C. W. H. Lam, The Search for a Finite Projective Plane of Order 10, Amer. Math. Monthly, 98 (1991) 305-318.

[9] C. W. H. Lam, L. Thiel, and S. Swiercz, The non-existence of nite projective planes of order 10, Can. J. Math.,XLI (1989) 1117-1123.

[10] C. W. H. Lam, L. Thiel, and S. Swiercz, The Nonexistence of Code Words of Weight 16 in a Projective Plane of Order 10, J. Comb. Theory, Series A., 42 (1986) 207-214.

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