论文信息 - Classical arcs in PG(r, q) for 11 <= q <= 19

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

Abstract The largest arcs in PG(r, q) have length q + 1 and they are classical, if 11 ⩽ q ⩽ 19, q ≠ 16 and 1 ⩽ r ⩽ q − 2 or if q = 16 and 4 ⩽ r ⩽ q − 5.

J. M. Chao | H. Kaneta | H. Kaneta | J. Chao

[1] J. Thas,et al. General Galois geometries , 1992 .

[2] F. MacWilliams,et al. The Theory of Error-Correcting Codes , 1977 .

[3] Ray Hill,et al. A First Course in Coding Theory , 1988 .

[4] B. Segre. Curve razionali normali ek-archi negli spazi finiti , 1955 .

[5] H. Kaneta,et al. An elementary proof and an extension of Thas' theorem on k-arcs , 1989, Mathematical Proceedings of the Cambridge Philosophical Society.

[6] H. Weyl. The Classical Groups , 1939 .

[7] L.R.A Casse,et al. On the uniqueness of (q + 1)4-arcs of PG(4, q), Q = 2h, h >=3 , 1984, Discret. Math..

[8] J. Hirschfeld. Projective Geometries Over Finite Fields , 1980 .

[9] Leo Storme,et al. Arcs fixed by A5 and A6 , 1996 .

[10] A.H. Ali,et al. On the size of arcs in projective spaces , 1995, IEEE Trans. Inf. Theory.

[11] David G. Glynn. The non-classical 10-arc of PG(4, 9) , 1986, Discret. Math..

[12] J. Hirschfeld. Finite projective spaces of three dimensions , 1986 .