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A note on (k, n)-arcs

Published online by Cambridge University Press:  24 October 2008

B. J. Wilson
B. J. Wilson
Affiliation:
Chelsea College, London
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Extract

In a finite projective plane S2, q of order q, a (k, n)-arc is a set of k points, of which some n, but no n + 1 are collinear. Barlotti (1) proved that if (n, q) = 1 then

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 76 , Issue 1 , July 1974 , pp. 57 - 59
Copyright
Copyright © Cambridge Philosophical Society 1974

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References

REFERENCES

(1)Barlotti, A.Sui (k, n)-archi di un piano lineare finito. Boll. Un. Mat. Ital. (3), 11 (1956), 553–6.Google Scholar
(2)Bramwell, D. and Wilson, B. J.The (11, 3)-arcs of the Galois plane of order 5. Proc. Cambridge Philos. Soc. 74 (1973), 247–250.CrossRefGoogle Scholar
(3)Haiˇmulin, Ju. N.Certain properties of {k; n}4,-arcs in Galois planes. Soviet Math. Dokl. 7 (1966), 1100–1103.Google Scholar
(4)Stein, E. and Retkin, H.On the symmetric (15, 3)-arcs of a finite projective plane of order 7. Rend. Mat. e Appt. (3–4) 24 (1965), 392–399.Google Scholar
(5)Wilson, B. J. Ph.D. thesis: University of London (1970).Google Scholar