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A cryptosystem based on computation of square roots of complex integers modulo composite <i>n</i> is described in this paper. This paper provides an algorithm extracting a square root of Gaussian integer. Various properties of square roots and a method for finding Gaussian generators are demonstrated. The generators can be instrumental in constructing other cryptosystems. It is shown how to significantly reduce average complexity of decryption per each block of ciphertext

Information Protection Based on Extraction of Square Roots of Gaussian Integers