New Constructions of Perfect Gaussian Integer Sequences

New constructions of perfect Gaussian integer sequence with even period are proposed. According to the parity of the multilevel perfect sequences over integer, different mappings and combined methods are used for constructing perfect Gaussian integer sequences. The length of the resultant sequence is equal to or twice that of the multilevel perfect sequence. New perfect Gaussian integer sequences are generated by the proposed construction and the number of the existing perfect Gaussian integer sequences is extended.