## Large Caps in PG(5, *b*)

In [1, Theorem 14] it is shown that a ((*b* + 1)(*b*^{2} + 3))-cap in the projective space PG(5, *b*) can be constructed. If *b* is even, a construction for a ((*b* + 2)(*b*^{2} + 1))-cap in PG(5, *b*) can be found in [2].

See also [3, Table 4.6(i)].

### References

[1] | Yves Edel and Jürgen Bierbrauer. Recursive constructions for large caps. Bulletin of the Belgian Mathematical Society. Simon Stevin, 6(2):249–258, 1999. |

[2] | A. C. Mukhopadhyay. Lower bounds on m_{t}(r, s).Journal of Combinatorial Theory, Series A, 25(1):1–13, July 1978.doi:10.1016/0097-3165(78)90026-2 |

[3] | James W. P. Hirschfeld and Leo Storme. The packing problem in statistics, coding theory and finite projective spaces: Update 2001. In Finite Geometries, volume 3 of Developments in Mathematics, pages 201–246. Kluwer Academic Publishers, 2001. |

### Copyright

Copyright © 2004, 2005, 2006, 2007, 2008, 2009, 2010 by Rudolf Schürer and Wolfgang Ch. Schmid.

Cite this as: Rudolf Schürer and Wolfgang Ch. Schmid. “Large Caps in PG(5, *b*).”
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