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• W150974711 abstract "The discrete logarithm problem with auxiliary input (DLPwAI) is a problem to find α from G, αG, α d G in an additive cyclic group generated by G of prime order r and a positive integer d dividing r − 1. The infeasibility of DLPwAI assures the security of some cryptographic schemes. In 2006, Cheon proposed a novel algorithm for solving DLPwAI. This paper shows our experimental results of Cheon’s algorithm by implementing it with some speeding-up techniques. In fact, we succeeded to solve DLPwAI in a group with 128-bit order in 45 hours with a single PC on an elliptic curve defined over a prime finite field with 256-bit elements which is used in the TinyTate library." @default.
• W150974711 created "2016-06-24" @default.
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• W150974711 date "2011-01-01" @default.
• W150974711 modified "2023-09-27" @default.
• W150974711 title "Solving DLP with Auxiliary Input over an Elliptic Curve Used in TinyTate Library" @default.
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• W150974711 doi "https://doi.org/10.1007/978-3-642-21040-2_8" @default.
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