Re: Lucky's 1024-bit post [was: RE: objectivity and factoring analysis

2002-05-13 Thread Nomen Nescio
Wei Dai writes: Using a factor base size of 10^9, in the relationship finding phase you would have to check the smoothness of 2^89 numbers, each around 46 bits long. (See Frog3's analysis posted at http://www.mail-archive.com/cryptography%40wasabisystems.com/msg01833.html. Those numbers

Re: Lucky's 1024-bit post

2002-05-13 Thread Anonymous
On Tue, 30 Apr 2002 at 17:36:29 -0700, Wei Dai wrote: On Wed, May 01, 2002 at 01:37:09AM +0200, Anonymous wrote: For about $200 you can buy a 1000 MIPS CPU, and the memory needed for sieving is probably another couple of hundred dollars. So call it $500 to get a computer that can sieve

Re: Lucky's 1024-bit post [was: RE: objectivity and factoring analysis]

2002-05-12 Thread Bill Stewart
At 08:52 AM 04/24/2002 +0800, Enzo Michelangeli wrote: In particular, none of the naysayers explained me clearly why it should be reasonable to use 256-bit ciphers like AES with 1024-bit PK keypairs. Even before Bernstein's papers it was widely accepted that bruteforcing a 256-bit cipher requires

Is There a Quantum Mechanic in the House? (was: Lucky's 1024-bit post [was: RE: objectivity and factoring analysis])

2002-05-12 Thread Mark S. Miller
At 05:52 PM 4/23/2002 Tuesday, Enzo Michelangeli wrote: [...] And if the reason for the 256 bits is the possible deployment, sometimes in the future, of quantum computers, well in that case we should stop using PK cryptography altogether. Hi Enzo! Disclaimer: I am not a quantum mechanic, and I

Re: Lucky's 1024-bit post [was: RE: objectivity and factoring analysis]

2002-05-12 Thread Wei Dai
Sorry, there's a mistake in my post, which makes the relationship finding phase look easier than it actually is. BTW, why did it take 5 days for that post to go through? On Wed, Apr 24, 2002 at 12:30:26PM -0700, Wei Dai wrote: Using a factor base size of 10^9, in the relationship finding phase

Re: Lucky's 1024-bit post

2002-05-12 Thread Anonymous
Wei Dai writes: Using a factor base size of 10^9, in the relationship finding phase you would have to check the smoothness of 2^89 numbers, each around 46 bits long. (See Frog3's analysis posted at http://www.mail-archive.com/cryptography%40wasabisystems.com/msg01833.html. Those numbers

Re: Lucky's 1024-bit post

2002-05-12 Thread Wei Dai
On Wed, May 01, 2002 at 01:37:09AM +0200, Anonymous wrote: This is probably not the right way to approach the problem. Bernstein's relation-finding proposal to directly use ECM on each value, while asymptotically superior to conventional sieving, is unlikely to be cost-effective for 1024 bit

Re: Lucky's 1024-bit post [was: RE: objectivity and factoring analysis]

2002-04-29 Thread Wei Dai
I have one other question about the panel analysis. Why did it focus only on the linear algebra part of the NFS algorithm? I would like to know, given the same assumption on the factor base size (10^9), how much would it cost to build a machine that can perform the relationship finding phase

Re: Lucky's 1024-bit post [was: RE: objectivity and factoring analysis

2002-04-29 Thread Anonymous
Lucky Green writes: Given how panels are assembled and the role they fulfill, I thought it would be understood that when one writes that certain results came out of a panel that this does not imply that each panelist performed the same calculations. But rather that that the information gained

Re: Lucky's 1024-bit post [was: RE: objectivity and factoring analysis]

2002-04-25 Thread Enzo Michelangeli
Further to Lucky's comments: in the last few days I have discussed keysize issues with a few people on a couple of mailing lists, and I have encountered a hostility to large keysizes of which, frankly, I don't understand the reasons. On the client side at least, performance is not an issue: PGP

RE: Lucky's 1024-bit post [was: RE: objectivity and factoring analysis]

2002-04-25 Thread Lucky Green
Enzo wrote: Further to Lucky's comments: in the last few days I have discussed keysize issues with a few people on a couple of mailing lists, and I have encountered a hostility to large keysizes of which, frankly, I don't understand the reasons. On the client side at least, performance

Lucky's 1024-bit post [was: RE: objectivity and factoring analysis]

2002-04-23 Thread Lucky Green
Anonymous wrote (quoting Adam): Adam Back wrote: The mocking tone of recent posts about Lucky's call seems quite misplaced given the checkered bias and questionable authority of the above conflicting claims we've seen quoted. No, Lucky made a few big mistakes. First, he invoked Ian