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• W1665450113 abstract "This paper studies various computational and decisional Diffie-Hellman problems by providing reductions among them in the high granularity setting. We show that all three variations of computational Diffie-Hellman problem: square Diffie-Hellman problem, inverse Diffie-Hellman problem and divisible Diffie-Hellman problem, are equivalent with optimal reduction. Also, we are considering variations of the decisional Diffie-Hellman problem in single sample and polynomial samples settings, and we are able to show that all variations are equivalent except for the argument DDH $Leftarrow$ SDDH. We are not able to prove or disprove this statement, thus leave an interesting open problem." @default.
• W1665450113 created "2016-06-24" @default.
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• W1665450113 date "2003-01-01" @default.
• W1665450113 modified "2023-10-12" @default.
• W1665450113 title "Variations of Diffie-Hellman Problem" @default.
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• W1665450113 doi "https://doi.org/10.1007/978-3-540-39927-8_28" @default.
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