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#1 |
Apr 2014
Marlow, UK
23·7 Posts |
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Could anyone tell me whether ECM renders Cyclotomic Polynomial Factoring methods obsolete (other than p-1, as it is a constant factor faster than ECM if it succeeds, I believe)?
Or, is there a significant possibility that for some k and N=pq, PHI_k(p) might be smooth where ECM finds no results? Are there any industrial-strength implementations of Cyclotomic Polynomial Factoring for values of k where the degree of PHI_k(p) > 2? (Sorry if this is a stupid question - I'm just enjoying learning about these methods at the moment...) |
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#2 |
Nov 2003
22×5×373 Posts |
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They were obsolete the moment Bach & Shallit wrote their paper.
Last fiddled with by R.D. Silverman on 2015-01-11 at 14:40 |
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#3 |
Apr 2014
Marlow, UK
23×7 Posts |
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