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Titlebook: Algorithmic Number Theory; 6th International Sy Duncan Buell Conference proceedings 2004 Springer-Verlag Berlin Heidelberg 2004 Farey seque

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Die blaue Stunde der Informatikic curves ..: .. + .. = . of ranks 8, 9, 10, and 11 over ℚ. As a corollary we produce examples of elliptic curves over ℚ with a rational 3-torsion point and rank as high as 11. We also discuss the problem of finding the minimal curve .. of a given rank, in the sense of both |.| and the conductor of
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,Kryptografie – Schützen der Privatsphäre,ion, fastECPP, runs in heuristic time .. The aim of this article is to describe new ideas used when dealing with very large numbers. We illustrate these with the primality proofs of some numbers with more than 10,000 decimal digits.
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https://doi.org/10.1007/978-3-662-06516-7gorithm computes the group order of the Jacobian of a genus 2 curve over a finite field for which the characteristic polynomial of the Frobenius endomorphism is known modulo some integer. The main tool is a 2-dimensional pseudo-random walk that allows to heuristically choose random elements in a 2-d
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https://doi.org/10.1007/978-3-662-06516-7 identity based encryption systems using supersingular elliptic curves, we pay special attention to the case where . is composite. This allows us to represent the function field over different base fields. Practical experiments appear to show that a function field over . gives the best results.
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