Classical arcs in PG(r,q) for 11 ≤q≤19

Discrete Mathematics

Volumn 174, Issue 1-3, 1997, Pages 87-94

  Chao, J M ^a   Kaneta, H ^a  

^a OKAYAMA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0008973052     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-365X(96)00319-6     Document Type: Article

References (14)

1. A.H. Ali, J.W.P. Hirschfeld and H. Kaneta, On the size of arcs in projective spaces, IEEE Trans. Inform. Theory 41 (1995) 1649-1656.
2. h, h≥3, Discrete Math. 48 (1984) 173-186.
3. D.G. Glynn, The non-classical 10-arcs of PG(4,9), Discrete Math. 59 (1986) 43-51.
4. R. Hill, A First Course in Coding Theory (Oxford Univ. Press, Oxford, 1986).
5. J.W.P. Hirschfeld, Projective Geometries over Finite Fields (Oxford Univ. Press, Oxford, 1979).
6. J.W.P. Hirschfeld, Finite Projective Spaces of Three Dimensions (Oxford Univ. Press, Oxford, 1985).
7. J.W.P. Hirschfeld and J.A. Thas, General Galois Geometries (Oxford Univ. Press, Oxford, 1991).
8. H. Kaneta and T. Maruta, An elementary proof and an extension of Thas' theorem on k-arcs, Math. Proc. Cambridge Phil. Soc. 105 (1989) 459-462.
9. F.J. MacWilliams and N.J.A. Sloane, The Theory of Error-Correcting Codes (North-Holland, Amsterdam, 1977).
10. 6, preprint.
11. M. Scipioni, Sugli archi completi nei piani Desarguesiani, Master thesis, Università degli Studi di Roma "La Sapienza" Facoltà di Scienze Mat. Fis e Nat., 1989.
12. B. Segre, Curve razionali normali e k-archi negli spazi finiti, Ann. Math. Pura Appl. 39 (1955) 357-379.
13. n,q, Rend. Math. 2 (1969) 121-134.
14. H. Weyl, The Classical Groups (Princeton Univ. Press, Princeton, NJ, 1946).