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Lecture Notes in Computer Science
Frey and Rück gave a method to transform the discrete logarithm problem in the divisor class group of a curve over Fq into a discrete logarithm problem in some finite field extension F q k . The discrete logarithm problem can therefore be solved using index calculus algorithms as long as k is small. In the elliptic curve case it was shown by Menezes, Okamoto and Vanstone that for supersingular curves one has k ≤ 6. In this paper curves of higher genus are studied. Bounds on the possible valuesdoi:10.1007/3-540-45682-1_29 fatcat:642pifhyvvb6pjkttoxhj6xsti