2003

2004

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- Mark L. Bauer
- Math. Comput.
- 2004

In this paper, we discuss the properties of curves of the form y 3 = f (x) over a given field K of characteristic different from 3. If f (x) satisfies certain properties, then the Jacobian of such a curve is isomorphic to the ideal class group of the maximal order in the corresponding function field. We seek to make this connection concrete and then use it… (More)

- Mark L. Bauer, Safuat Hamdy
- ASIACRYPT
- 2003

The best practical algorithm for class group computations in imaginary quadratic number fields (such as group structure, class number , discrete logarithm computations) is a variant of the quadratic sieve factoring algorithm. Paradoxical as it sounds, the principles of the number field sieve, in a strict sense, could not be applied to number field… (More)

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