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Embedding the complement of an oval in a projective plane of even order. (English) Zbl 0288.05017


MSC:

05B30 Other designs, configurations
05B20 Combinatorial aspects of matrices (incidence, Hadamard, etc.)
05B35 Combinatorial aspects of matroids and geometric lattices
05B05 Combinatorial aspects of block designs
Full Text: DOI

References:

[1] Bose, R. C., Mathematical theory of factorial designs, Sankhyā, 8, 107-166 (1947) · Zbl 0038.09601
[2] Bruck, R. H.; Ryser, H. J., The non-existence of certain finite projective planes, Can. J. Math., 1, 88-93 (1949) · Zbl 0037.37502
[3] Li-Chien, Chang, The uniqueness and non-uniqueness of the triangular association schemes, Sci. Record, Math., 3, 604-613 (1959), New Ser. · Zbl 0089.15102
[4] Li-Chien, Chang, Association schemes of partially balanced designs with parameters \(v = 28, n_1 = 12, n_2 = 15\) and \(p^2_{1]} = 4\), Sci. Record, Math., 4, 12-18 (1960), New Ser. · Zbl 0093.32101
[5] Connor, W. S., The uniqueness of the triangular association scheme, Ann. Math. Statist., 29, 262-266 (1958) · Zbl 0085.35601
[6] Dickey, L. J., Embedding the complement of a unital in a projective plane, Conference on Combinatorial Geometry and its Applications (1970), Perugia, Italy · Zbl 0238.05011
[7] Hoffman, A. J., On the uniqueness of the triangular association scheme, Ann. Math. Statist., 31, 492-497 (1960) · Zbl 0091.31504
[8] Hoffman, A. J., On the exceptional case in a characterization of the arcs of a complete graph, IBM J., 4, 487-496 (1960) · Zbl 0097.34405
[9] Segre, B., Sulle ovali dei piani lineari finiti, R.C. Acc. Naz. Lincei, 17, 141-142 (1954) · Zbl 0057.36301
[10] Segre, B., Ovals in a finite projective plane, Can. J. Math., 7, 414-416 (1955) · Zbl 0065.13402
[11] Segre, B., Sui \(k\)-archi nei piani finiti di carrateristica due, Rev. Roumaine Math. Pures Appl., 2, 283-294 (1957)
[12] Shrikhande, S. S., On a characterization of the triangular association scheme, Ann. Math. Statist., 30, 39-47 (1959) · Zbl 0089.15101
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