@article {15121,
	title = {Efficient signature schemes with tight reductions to the Diffie-Hellman problems},
	journal = {Journal of Cryptology},
	volume = {20},
	year = {2007},
	month = {2007///},
	pages = {493 - 514},
	abstract = {We propose and analyze two efficient signature schemes whose security is tightly related to the Diffie-Hellman problems in the random oracle model. The security of our first scheme relies on the hardness of the computational Diffie-Hellman problem; the security of our second scheme - which is more efficient than the first-is based on the hardness of the decisional Diffie-Hellman problem, a stronger assumption. Given the current state of the art, it is as difficult to solve the Diffie-Hellman problems as it is to solve the discrete logarithm problem in many groups of cryptographic interest. Thus, the signature schemes shown here can currently offer substantially better efficiency (for a given level of provable security) than existing schemes based on the discrete logarithm assumption. The techniques we introduce can also be applied in a wide variety of settings to yield more efficient cryptographic schemes (based on various number-theoretic assumptions) with tight security reductions.},
	doi = {10.1007/s00145-007-0549-3},
	author = {Goh,E. J and Jarecki,S. and Katz, Jonathan and Wang,N.}
}
