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• W1586132011 abstract "We develop a generic framework for the computation of logarithms in finite class groups. The model allows us to formulate a probabilistic algorithm based on collecting relations in an abstract way independently of the specific type of group to which it is applied, and to prove a subex-ponential running time if a certain smoothness assumption is verified. The algorithm proceeds in two steps: first, it determines the abstract group structure as a product of cyclic groups; second, it computes an explicit isomorphism, which can be used to extract discrete logarithms.KeywordsClass GroupFinite FieldElliptic CurfDiscrete LogarithmHyperelliptic CurveThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
• W1586132011 created "2016-06-24" @default.
• W1586132011 creator A5007318055 @default.
• W1586132011 date "2001-01-01" @default.
• W1586132011 modified "2023-09-27" @default.
• W1586132011 title "A General Framework for Subexponential Discrete Logarithm Algorithms in Groups of Unknown Order" @default.
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• W1586132011 doi "https://doi.org/10.1007/978-1-4613-0283-4_8" @default.
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