Large Caps in Small Spaces

Authors:
Yves Edel;Jürgen Bierbrauer
Affiliations:
Mathematisches Institut der Universität, Im Neuenheimer Feld 288, 69120 Heidelberg, Germany;Department of Mathematical Sciences, Michigan Technological University, Houghton, Michigan 49931, USA
Venue:
Designs, Codes and Cryptography
Year:
2001

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Abstract

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.