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In the proposed paper, a novel types of genetic algorithms are used as a global optimization method to seek the geometry of ultra-band discone antenna with Koch motive. The global optimization method is real codes genetic algorithms SPX-PNX used for accurate results of optimization. For accurate and wideband computation, time domain method in CST MW Studio is used. The antenna is optimized for two basic parameters: wideband impedance matching and directivity pattern of the antenna.