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Found 21 Documents (Results 1–21)

Hyperelliptic curves and cryptography. (English) Zbl 1098.94023

van der Poorten, Alf (ed.) et al., High primes and misdemeanours: lectures in honour of the 60th birthday of Hugh Cowie Williams. Selected papers from the international conference on number theory, Banff, AB, Canada, May 24–30, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3353-7/hbk). Fields Institute Communications 41, 255-282 (2004).
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An improved method of computing the regulator of a real quadratic function field. (English) Zbl 0935.11048

Buhler, J. P. (ed.), Algorithmic number theory. 3rd international symposium, ANTS-III, Portland, OR, USA, June 21-25, 1998. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1423, 607-620 (1998).
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Unit computation in purely cubic function fields of unit rank 1. (English) Zbl 0935.11051

Buhler, J. P. (ed.), Algorithmic number theory. 3rd international symposium, ANTS-III, Portland, OR, USA, June 21-25, 1998. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1423, 592-606 (1998).
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Comparing real and imaginary arithmetics for divisor class groups of hyperelliptic curves. (English) Zbl 0935.11052

Buhler, J. P. (ed.), Algorithmic number theory. 3rd international symposium, ANTS-III, Portland, OR, USA, June 21-25, 1998. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1423, 576-591 (1998).
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An algorithm for determining the regulator and the fundamental unit of a hyperelliptic congruence function field. (English) Zbl 0925.11054

Watt, Stephen M. (ed.), ISSAC ’91. Proceedings of the 1991 international symposium on Symbolic and algebraic computation. Bonn, Germany, July 15–17, 1991. New York, NY: ACM Press, 183-184 (1991).
MSC:  11Y40 11R27 11R58
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