Variations of Diffie-Hellman Problem

By F. Bao, Robert Huijie Deng, Huafei Zhu. International Conference on Information, Communications and Signal Processing, 2003

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Provably Secure Authenticated Key Agreement Scheme for Smart Grid (2018, background): “Note that under the underlying group with prime order q, CDHP and DCDHP are equivalent [20], [21].”
An efficient public-key searchable encryption scheme secure against inside keyword guessing attacks (2017, background): “It is not hard to find a reduction from the InvDDH problem (which is conjectured to be equivalent to DDH problem) [5] to mDLIN problem in groups without pairings 1.”
Vector Commitments and Their Applications (2013, methodology): “Interestingly, by combining this result with the vector commitment given in Section 3.1, we are able to provide the first accumulator that works in prime order groups based on a standard constant-size assumption (i.e., CDH).”