20150111, 12:51  #1 
Apr 2014
Marlow, UK
38_{16} Posts 
Cyclotomic Polynomial Factoring methods
Could anyone tell me whether ECM renders Cyclotomic Polynomial Factoring methods obsolete (other than p1, 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 industrialstrength 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...) 
20150111, 14:40  #2 
Nov 2003
1D24_{16} Posts 
They were obsolete the moment Bach & Shallit wrote their paper.
Last fiddled with by R.D. Silverman on 20150111 at 14:40 
20150111, 18:31  #3 
Apr 2014
Marlow, UK
2^{3}×7 Posts 

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