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Author: William A. Stein
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First Projects (on factoring)

Tom Boothby

Make FLINT faster than PARI at factoring numbers with <= 53 bit. See

Aly Deines

Do a toy dlog index calculus implementation: Index_Calculus_Aly_s_Midterm_Project.sws

Dan Shumow

  • Lattice sieve (part of General number field sieve) for finding smooth numbers. GNFS.sage

Sourav San Gupta

Robert Bradshaw

  • Investigate cutoffs between (implementations of) various factoring algorithms. Fix sage's generic factor command in various ways.

Dustin Moody

  • Describe and implement the continued fraction algorithm for factoring integers.

Paul Carr

Wenhan Wang

  • The hyperelliptic curve method for factoring integers. Like ECM, but instead of using an elliptic curve, use a hyperelliptic curve. project_hecm.pdf

Projects 2: Abelian Varieties

2013-05-11 18:32