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Factorization with genus 2 curves
Abstract : The elliptic curve method (ECM) is one of the best factorization methods available. It is possible to use hyperelliptic curves instead of elliptic curves but it is in theory slower. We use special hyperelliptic curves and Kummer surfaces to reduce the complexity of the algorithm. Our implementation GMP-HECM is faster than GMP-ECM for factoring large numbers.
Cited literature [10 references]
https://hal.inria.fr/inria-00384128
Contributor : Romain Cosset Connect in order to contact the contributor
Submitted on : Thursday, May 14, 2009 - 2:29:54 PM
Last modification on : Wednesday, February 2, 2022 - 4:30:56 PM
Long-term archiving on: : Monday, October 15, 2012 - 10:25:45 AM
Contributor : Romain Cosset Connect in order to contact the contributor
Submitted on : Thursday, May 14, 2009 - 2:29:54 PM
Last modification on : Wednesday, February 2, 2022 - 4:30:56 PM
Long-term archiving on: : Monday, October 15, 2012 - 10:25:45 AM
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cosset.pdf
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