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Decisional composite residuosity assumption

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The decisional composite residuosity assumption (DCRA) is a mathematical assumption used in cryptography. In particular, the assumption is used in the proof of the Paillier cryptosystem.

Informally, the DCRA states that given a composite and an integer , it is hard to decide whether is an -residue modulo . I.e. whether there exists a such that

See also

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References

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  • P. Paillier, Public-Key Cryptosystems Based on Composite Degree Residuosity Classes, Eurocrypt 1999.