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We give an algorithm for decomposing given element of Jacobian gruop into the sum of the decomposed factor, which consists of certain subset of the points of curve.
Index Calculus in Class Groups of Plane Curves of Small Degree
Index Calculus Class Groups Plane Curves Small Degree
2009/2/5
We present a novel index calculus algorithm for the discrete
logarithm problem (DLP) in degree 0 class groups of curves over finite
fields. A heuristic analysis of our algorithm indicates that asymp...