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In this paper, we proposed two new cryptosystem that can transform oneplaintext to different ciphertexts nondeterministicly at different times.The properties of nondetermination come from the usage of nondeterministicnumber representation (NNR) system. Combined with a DWK system, we proposetwo cryptoschemes. Type (I) cryptoscheme works on the scalar integer domain, that is,bothinput and output are scalar integers. The input and output of type (II)cryptoscheme are both vectors. "One to many" is most important propertyof nondetermination, makes the guess of plaintext more difficult, henceenforces the security.
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