Small arcs in projective spaces

Journal of Geometry

Volumn 58, Issue 1-2, 1997, Pages 179-191

  Storme, Leo ^a,b  

^a FUND FOR SCIENTIFIC RESEARCH   (Belgium)

^b GHENT UNIVERSITY   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 53249140763     PISSN: 00472468     EISSN: 14208997     Source Type: Journal    
DOI: 10.1007/BF01222939     Document Type: Article

References (13)

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2. HIRSCHFELD, J.W.P.: Projective Geometries over Finite Fields. Oxford University Press, Oxford (1979).
3. HIRSCHFELD, J.W.P.: Finite Projective Spaces of Three Dimensions. Oxford University Press, Oxford (1985).
4. KORCHMÁROS, G: New examples of complete k-arcs in PG(2, q). European J. Combin. 4 (1983), 329-334.
5. 2,q. Boll. Un. Mat. Ital. 11 (1956), 178-181.
6. SEGRE, B.: Ovali e curve σ nei piani di Galois di caratteristica due. Atti dell' Accad. Naz. Lincei Rend. (8) 32 (1962), 785-790.
7. SEROUSSI, G. and ROTH, R.M.: On M.D.S. extensions of generalized Reed-Solomon codes. IEEE Trans. Inform. Theory, IT-32 (1986), 349-354.
8. STORME, L.: Completeness of normal rational curves. J. of Algebraic Combin. 1 (1992), 197-202.
9. STORME, L. and THAS, J.A.: Generalized Reed-Solomon codes and normal rational curves: an improvement of results by Seroussi and Roth. Advances in Finite Geometries and Designs (eds. J.W.P. Hirschfeld, D.R. Hughes, J.A. Thas). Oxford: Oxford University Press (1991), 369-389.
10. STORME, L. and SZONYI, T.: Intersection of arcs and normal rational curves in spaces of even characteristic. J. Geom. 51 (1994), 150-166.
11. STORME, L. and SZONYI, T.: Intersection of arcs and normal rational curves in spaces of odd characteristic. Finite Geometry and Combinatorics (eds. F. De Clerck et al.) Cambridge University Press. London Mathematical Society Lecture Note Series 192 (1993), 359-378.
12. SZONYI, T.: Small complete arcs in Galois planes. Geom. Dedicata 18 (1985), 161-172.
13. SZONYI, T.: Note on the order of magnitude of k for complete k-arcs in PG(2, q). Discrete Math. 66 (1987), 279-282.