The Non - existence of Finite Projective
نویسنده
چکیده
This note reports the result of a computer search which shows that no 19-point connguration can be extended to a complete nite projective plane of order 10. Previous work has shown that such a plane, if it exists, must contain 24,675 19-point conngurations. Together, these results imply the non-existence of a projective plane of order 10. This note presents a brief summary of the previous work and gives some details of the methodology which are not covered by earlier publications. It also argues that, even when the possibility of undetected software or hardware errors is taken into account, the probability is very small that an undiscovered plane of order 10 is missed by all the computer searches.
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تاریخ انتشار 1989