Section: New Results

Faster index calculus in algebraic curves

Participant : Maike Massierer [contact] .

A possible application of the new ideas speeding up the function field sieve algorithm to index calculus in Jacobians of algebraic curves of large genus has been studied in [30] . Based on a number of practical experiments as well as theoretical considerations, a conjecture has been formulated. It implies that the new ideas only apply to curves which are not interesting in the context of the discrete logarithm problem.