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This paper presents the application of a genetic algorithm (GA) to the optimization of an S-band quadrifilar-helical antenna, which is printed on a dielectric cylinder. This antenna was designed for LEO satellite applications. Its saddle-shaped pattern should compensate for free-space loss variations in the satellite's footprint. The steady-state genetic algorithm was used for this optimization and an elitist strategy was implemented. The selection strategy in the present genetic algorithm was proportionate selection.