Uniqueness of the projective plane of order eight
نویسندگان
چکیده
منابع مشابه
On the Existence of a Projective Plane of Order 10
If a projective plane of order 10 exists, let M denote the (111,56) binary error-correcting code generated by the rows of the incidence matrix. It is known that the weight distribution of this code is uniquely determined by the number of codewords of weights 12, 15 and 16. It is the object of this paper to report that the number of codewords of weight 15 is zero, thus reducing the number of unk...
متن کاملThe Search for a Finite Projective Plane of Order 10
When I was a graduate student looking for a thesis topic, Herbert Ryser advised me not to work on the projective plane of order 10. Even though he was extremely interested in this subject, he believed that it was too difficult and that I might get nowhere with it. I took his advice and chose another problem. Somehow, this problem has a beauty that fascinates me as well as many other mathematici...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1956
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1956-0084142-0