Re: JSH: Necessity and discovery

On 3 Jan, 00:39, JSH <jst...@xxxxxxxxx> wrote:
On Jan 2, 7:45 am, rossum <rossu...@xxxxxxxxxxxx> wrote:



On Wed, 2 Jan 2008 07:22:12 -0800 (PST), JSH <jst...@xxxxxxxxx> wrote:
That won't work this time. The fundamental factoring relations I
found are incredible as pure number theory, so their implications for
factoring are just secondary.

I'm afraid not James. I can use some trivial mathematics to show that
I can factor a number by trying the sequence of primes as factors.
The mathematics is correct and it guarantees finding a factor, but it
does not guarantee that the method is fast. We already have a lot of
slow factoring methods. By actually factoring a large number you can
show that your new method is fast. Merely finding another slow
factoring method will not have the impact you want.

You need to find a *fast* factoring method, and you need to show that
it is fast.

rossum

No I don't. I just put the theory out there and if it is valuable I
assure you other people will do that for me.

So yeah, you can sit back and wait, as I sure will.

If those relations are correct--and I know they are--then it should be
fairly trivial for quite a few people around the world to exploit
them.

If RSA wishes to sit back and wait or re-trench further--like it did
by withdrawing the RSA Challenge--then, fine.

But no matter what game plans the lawyers may come up with for the
aftermath the company will be gutted if it rolls the dice on this one,
and plays that dumb wait game as the waiting strategy is now dead.

Its stock won't be worth a penny and it'll drag down its parent
company along with it.

I suggest a shift in strategy to something more proactive, or there is
a meltdown at the end with the wait and see approach. This latest
result is too direct, too simple and too mathematically important
beyond the practical factoring issues.

And markets pay the price as well for that wait, wait, wait strategy
so people who have no clue what is going on lose their life's savings
so that some people who refuse to accept mathematical proof can keep
living in fantasy land and hope that this time, like all the last
times they can just wait, and see...

James Harris

Yeah, sure. When's DMESE going to take over the world of content
security by the way?
.

Relevant Pages

  • Re: Speculative, but at least interesting
    ... >With the proviso that my knowledge of cryptography is limited to ... Certainly factoring experts have no such fear. ... >in factoring techniques. ... I know of no factoring methods which ...
    (sci.math)
  • Re: Surrogate factoring approach, analysis
    ... The problem with all the factoring methods you have ... you haven't exhibited such an algorithm. ...
    (sci.math)
  • Re: Surrogate factoring approach, analysis
    ... The problem with all the factoring methods you have ... you haven't exhibited such an algorithm. ...
    (sci.crypt)
  • JSH: Difference of squares
    ... squares with some target M to be factored, ... factoring is typically done. ... Now with surrogate factoring though, ... You see, the other factoring methods, like even the Number Field Sieve, ...
    (sci.math)
  • Re: Gist of surrogate factoring theorem
    ... while the surrogate factoring ... > a difference of squares with your target. ... mathematics requirement for physics majors is algebra, calculus, ... of people with this view of mathematics. ...
    (sci.crypt)
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