Introduction to finite fields and their applications
Introduction to finite fields and their applications
Handbook of Applied Cryptography
Handbook of Applied Cryptography
How to Enhance the Security of Public-Key Encryption at Minimum Cost
PKC '99 Proceedings of the Second International Workshop on Practice and Theory in Public Key Cryptography
An Efficient Off-line Electronic Cash System Based On The Representation Problem.
An Efficient Off-line Electronic Cash System Based On The Representation Problem.
Lower bounds for discrete logarithms and related problems
EUROCRYPT'97 Proceedings of the 16th annual international conference on Theory and application of cryptographic techniques
DDH-Like assumptions based on extension rings
PKC'12 Proceedings of the 15th international conference on Practice and Theory in Public Key Cryptography
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This paper proposes a new generalized ElGamal public key encryption scheme based on a new Diffie-Hellman problem, so-called EDDH problem, which DDH problem can be reduced to. This scheme is one-way if and only if ECDH assumption holds and it is semantically secure in the standard model if and only if EDDH assumption holds. Since EDDH assumption still holds for generic bilinear groups, this encryption scheme adds to the growing toolkit of provable security primitives that can be used by the protocol designer looking to build complex secure systems with a sound basis.