  A maximal arc of degree k in a finite projective plane P of order q = ks is a
set of (q-s+1)k points that meets every line of P in either k or 0 points. The
collection of the nonempty intersections of a maximal arc with the lines of P
is a resolvable Steiner 2-((q-s+1)k, k, 1) design. Necessary and sufficient
conditions for a resolvable Steiner 2- design to be embeddable as a maximal arc
in a projective plane were proved recently in [8]. Steiner designs associated
with maximal arcs in the known projective planes of order 16 were analyzed in
[6], where it was shown that some of the associated designs are embeddable in
two non-isomorphic planes. Using MAGMA, we conducted an analysis to ascertain
whether any of the 22 non-isomorphic 1-rotational 2-(52,4,1) designs,
previously classified in [3], could be embedded in maximal arcs of degree 4
within projective planes of order 16. This paper presents a summary of our
findings, revealing that precisely only one out of the the twenty-two
1-rotational designs from [3] is embeddable in a plane of order 16, being the
Desarguesian plane P G(2, 16).
