Large caps in small spaces

coauthor Jürgen Bierbrauer

Designs, Codes and Cryptography, 23 (2001), 197-212.

doi:10.1023/A:1011216716700


Errata in the printed version:

page 205 line -2: it is a $534$-cap and $20$ extension ponts.

page 205 the last table is missing two extension points.

page 206 line 1 and page 212 table 4: replace $532$ by $534$.

The errors are corrcted in the attached PDF.


Abstract:

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

The generator matrices of the computer-generated caps can be found here.

Download the preprint as pdf.


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