<para xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> This letter focuses on the design of linear array antennas having distributions with low sidelobes and aperture efficiency constraints on the specified peak amplitude and effective radiated voltage. An adaptive parameter genetic algorithm is used to explore how interference nulls impact antenna performance when low sidelobes and aperture efficiency are also required. </para>