A class of complete k-caps of small cardinality in projective spaces over fields of characteristic three

AbstractOne of the crucial problem about caps is to determine the spectrum of the values of k for which there exists a complete k-cap. In this paper a class of small complete k-caps is constructed in PG(3,q),q=3n, n>1, such that k=(q2+6)/3; these are smaller than those currently known in characteristic three