Construction of the (k, r)-caps in the projective 3-space PG(3,11)

Abstract

The purpose of this work is to construct the (k, r)-caps in the projective 3-space PG(3,11). We found that PG(3,11) has an ovaloid maximum complete (k,2)-cap when k = 40. Furthermore the maximum (k,3)-caps, (k,4)-caps, (k,5)-caps,(k,6)-caps,  (k,7)-caps, (k,8)-caps, (k,9)-caps, (k,10)-caps, (k,11)-caps, (k,12)-caps.