论文信息 - Large Caps in Small Spaces

Large Caps in Small Spaces

We construct large caps in projective spaces of small dimension (up to 11) defined over fields of orderat most 9. The constructions are both theoretical and computer-supported. Some more computer-generated 4-dimensional caps over larger fields are alsomentioned.

Yves Edel | Jürgen Bierbrauer | J. Bierbrauer | Yves Edel

[1] Yves Edel,et al. 41 is the Largest Size of a Cap in PG(4,4) , 1999, Des. Codes Cryptogr..

[2] B. Segre. Le geometrie di Galois , 1959 .

[3] B. Segre. On complete caps and ovaloids in three-dimensional Galois spaces of characteristic two , 1959 .

[4] A. Robert Calderbank,et al. Maximal three-independent subsets of {0, 1, 2}n , 1994, Des. Codes Cryptogr..

[5] Andrew Bowler. DESIGNS, GRAPHS, CODES AND THEIR LINKS: (London Mathematical Society Student Texts 22) , 1992 .

[6] J. Hirschfeld,et al. The packing problem in statistics, coding theory and finite projective spaces , 1998 .

[7] A Family of Caps in Projective 4-Space in Odd Characteristic , 2000 .

[8] A. C. Mukhopadhyay. Lower Bounds on mt(r, s) , 1978, J. Comb. Theory, Ser. A.

[9] Antonio Cossidente,et al. Mixed partitions of PG(5, q) , 1999, Discret. Math..

[10] Peter J. Cameron,et al. Designs, graphs, codes, and their links , 1991 .

[11] A family of caps in projective 4-space in characteristic 2 , 1997 .

[12] J. Hirschfeld,et al. The packing problem in statistics, coding theory and finite projective spaces : update 2001 , 2001 .

[13] Yves Edel,et al. Recursive constructions for large caps , 1999 .