Re: Bernstein's NFS machine

2002-03-04 Thread Nomen Nescio
James Donald writes: On Tue, Feb 26, 2002 at 02:04:16AM -, Frog3 wrote: The cost [To factor RSA 1024] is the need to build a machine that can do 53 billion simultaneous, independent ECM factorizations for smoothness testing. It's not clear how amenable this would be to hardware

Re: Bernstein's NFS machine

2002-03-03 Thread Nomen Nescio
David Wagner writes: Bernstein's analysis is based on space*time as your cost metric. What happens if we assume that space comes for free, and we use simply time as our cost metric? Do his techniques lead to an improvement in this case? Bernstein basically treats memory and processing

Re: Bernstein's NFS machine

2002-03-02 Thread Nomen Nescio
More analysis of Dan Bernstein's factoring machine from http://cr.yp.to/papers.html#nfscircuit; The NFS algorithm has two phases. The first searches for coefficients (a,b) from some interval which are relatively prime and which satisfy two smoothness bounds. The smoothness is with respect to a

Re: Bernstein's NFS machine

2002-03-02 Thread David Wagner
Very interesting. Thanks for the analysis. Bernstein's analysis is based on space*time as your cost metric. What happens if we assume that space comes for free, and we use simply time as our cost metric? Do his techniques lead to an improvement in this case? It looks to me like there is no