Embedding of classical polar unitals in PG(2, q(2))

A unital, that is, a block-design 2 - (q^3 + 1, q + 1,1), is embedded in a projective plane II of order q(2) if its points and blocks are points and lines of H. A unital embedded in PG(2, q(2)) is Hermitian if its points and blocks are the absolute points and non-absolute lines of a unitary polarity of PG(2, q(2)). A classical polar unital is a unital isomorphic, as a block-design, to a Hermitian unital. We prove that there exists only one embedding of the classical polar unital in PG(2, q(2)), namely the Hermitian unital. (C) 2017 Elsevier Inc. All rights reserved.