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Erschienen in:
2010 | OriginalPaper | Buchkapitel
Public-Key Encryption Schemes with Auxiliary Inputs
verfasst von : Yevgeniy Dodis, Shafi Goldwasser, Yael Tauman Kalai, Chris Peikert, Vinod Vaikuntanathan
Erschienen in: Theory of Cryptography
Verlag: Springer Berlin Heidelberg
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We construct
public-key
cryptosystems that remain secure even when the adversary is given any
computationally uninvertible function
of the secret key as auxiliary input (even one that may reveal the secret key information-theoretically). Our schemes are based on the decisional Diffie-Hellman (DDH) and the Learning with Errors (LWE) problems.
As an independent technical contribution, we extend the Goldreich-Levin theorem to provide a hard-core (pseudorandom) value over
large
fields.