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In this paper,we introduce the concept of nondeterministic number representation(NNR) and combine it with Hill cipher to propose an NNR cryptosystem.This system performs a transformation on an in- teger to get a vector of integers.By taking advantage of NNR's one-to-one mapping property,most of ciphertexts with respect to some plaintexts are not unique,thus, the security is ensured.
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