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The present paper introduces the construction of sequences having a zero-correlation zone. The cross-correlation function and the side-lobe of the auto-correlation function of the proposed sequence set is zero for the phase shifts within the zero-correlation zone. The proposed zero-correlation zone sequence set can be generated from an arbitrary perfect sequence of length k(2n - 1) for k ges 1 and n ges l. A zero-correlation zone sequence set that satisfies the theoretical bound of the sequence member size for the zero-correlation zone and the sequence period is called an optimal zero-correlation zone sequence set The proposed sequence construction can generate an optimal zero-correlation zone sequence set. The proposed sequence set is applied for a synthetic aperture ultrasonic imaging. The proposed sequence set is suitable for real-time synthetic aperture ultrasonic imaging.