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Towards the Equivalence of Breaking the Diffie-Hellman Protocol and Computing Discrete Logarithms
Advances in Cryptology — CRYPTO '94
Let G be an arbitrary cyclic group with generator g and order /GI with known factorization. G could be the subgroup generated by g within a larger group H . Based on an assumption about the existence of smooth numbers in short intervals, we prove that breaking the Diffie-Hellman protocol for G and base g is equivalent to computing discrete logarithms in C: t,o t,he base g when a certain side information string S of length 2loglGI is given, where S depends only on [GI but not on the definitiondoi:10.1007/3-540-48658-5_26 dblp:conf/crypto/Maurer94 fatcat:z3jzgv5a2rflpdoasmvl4xd2ii