Welcome to the resource topic for 2014/996
Title:
Some experiments investigating a possible L(1/4) algorithm for the discrete logarithm problem in algebraic curves
Authors: Maike Massierer
Abstract:The function field sieve, a subexponential algorithm of complexity L(1/3) that computes discrete logarithms in finite fields, has recently been improved to an algorithm of complexity L(1/4) and subsequently to a quasi-polynomial time algorithm. We investigate whether the new ideas also apply to index calculus algorithms for computing discrete logarithms in Jacobians of algebraic curves. While we do not give a final answer to the question, we discuss a number of ideas, experiments, and possible conclusions.
ePrint: https://eprint.iacr.org/2014/996
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