ABSTRACT

By contrast, in certain Andre´ planes of order q = s2, complete k-arcs having size in this interval have been constructed by Szo˝nyi [1998]. Let k|(s− 1), then there exist in certain of these Andre´ planes complete k-arcs of size ((m− 1)(q− 1)/m+O(q1/2))-arcs, where m = k if k is odd, and where m = k/2 if k is even.