The minimum order of complete caps in $PG(4,4)$
Daniele Bartoli, Alexander A. Davydov, Stefano Marcugini, Fernanda Pambianco · Advances in Mathematics of Communications · 2011
It has been verified that in $PG(4,4)$the smallest size of complete caps is 20 and that thevalues from 20 to 41 form the spectrum of possible sizesof complete caps. This result has been obtained by a computer-based proof helped by the non existence of some codes.