Random Cayley Digraphs and the Discrete Logarithm (Extended Abstract)
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چکیده
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Random Cayley Digraphs and the Discrete Logarithm
We formally show that there is an algorithm for dlog over all abelian groups that runs in expected optimal time (up to logarithmic factors) and uses only a small amount of space. To our knowledge, this is the first such analysis. Our algorithm is a modification of the classic Pollard rho, introducing explicit randomization of the parameters for the updating steps of the algorithm, and is analyz...
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تاریخ انتشار 2007