An elementary, geometric proof of the non-existence of a projective plane of order 6
We present a fairly elementary, self-contained proof of the nonexistence of a finite projective plane of order $6$. Our approach is motivated by theory of binary codes but does not appeal to it directly.
An elementary proof of the nonexistence of a projective plane of order six.
Mitt. Math. Sem. Giessen No. 192 (1989), 89--93
Burger A.P., Kidd M.P., van Vuuren J.H.:
A graph-theoretic proof of the non-existence of self-orthogonal Latin squares of order 6.
Discrete Mathematics 311 (2011) 1223--1228
Bruck, R.H., Ryser, H.J.:
The nonexistence of certain finite projective planes.
Canadian Journal of Mathematics, 1949
Recherches sur une nouvelle espece de quarres magiques,
Verh. Zeeuwsch. Genootsch. Wetensch Vlissengen, 9 (1782) 85--239
Finite geometrical systems.
A short proof of the nonexistence of a pair of orthogonal Latin square of order six.
J. Combin. Theory Ser. A 36 (1984), no. 3, 373–-376
Le probl\'eme des $36$ officiers.
C.R. Assoc. Fr. Av. Sci. 1 (1900) 122--123; 2 (1901) 170--203
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