In this paper we show that solving the discrete logarithm problem for non-supersingular elliptic curves over finite fields of even characteristic is polynomial-time equivalent to solving a discrete logarithna type of problem in the infrastructure of a certain function field. We give an explicit correspondence between the two structures and show how to compute the equivalence.
CITATION STYLE
Zuccherato, R. J. (1998). The equivalence between elliptic curve and quadratic function field discrete logarithms in characteristic 2. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1423, pp. 621–638). Springer Verlag. https://doi.org/10.1007/bfb0054897
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