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Towards a Classification of Non-interactive Computational Assumptions in Cyclic Groups
Non-Interactive Assumptions Computational Assumptions Target Assumptions
2017/4/24
Our analysis identifies two families of intractability assumptions, the qq-Generalized Diffie-Hellman Exponent assumptions and the qq-Simple Fractional assumptions that imply all other target assumpti...
Trial multiplication is not optimal but... On the symmetry of finite cyclic groups (Z/pZ)∗
discrete logarithm problem finite cyclic groups
2016/1/23
The Discrete Logarithm Problem is at the base of the famous Diffie Hellman key agreement algorithm and many others. The key idea behind Diffie Helmann is the usage of the Discrete Logarithm function i...
Homomorphic Encryption Over Cyclic Groups Implies Chosen-Ciphertext Security
Homomorphic Encryption Cyclic Groups Chosen-Ciphertext Security
2010/3/16
Chosen-Ciphertext (IND-CCA) security is generally considered the right notion of security
for a cryptosystem. Because of its central importance much e ort has been devoted to constructing
IND-CCA se...