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Erschienen in:
2010 | OriginalPaper | Buchkapitel
Twin Hybrid ElGamal Encryption over Signed Quadratic Residue Groups
verfasst von : Yonggang Cui, Yujun Liu
Erschienen in: Wireless Algorithms, Systems, and Applications
Verlag: Springer Berlin Heidelberg
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In this paper, we consider the security of twin Hybrid ElGamal (
THEG
) scheme when instantiated over the group of signed quadratic residues. In random oracle model, the scheme is proved
IND
-
CCA
secure under composite computation Diffie-Hellman assumption, which is at least as hard as factoring. In the standard model, we give a more tight security reduction for
THEG
, using a new hash proof system, than that of Hybrid ElGamal (
HEG
) in [4]. Therefore,
THEG
can be instantiated over smaller RSA modulus than
HEG
, which results in shorter ciphertexts for the same bit security and hence reduces the communication complexity of encrypted data transmitted over public communication lines.