From: doug@OpenMind.com (Doug Cutrell)
Date: Wed, 28 Sep 94 11:25:58 PDT
To: cypherpunks@toad.com
Subject: Re: Anyone seen the 'quantum cryptanalysis' thread on sci.crypt?
Message-ID: <aaaf63c067021003af24@[198.232.141.2]>
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Tim May:

>In any case, the Shor work on a quantum factorer is interesting, but
>is at least several decades away, in my opinion. And even then it is
>likely to be "workable" out to some number of digits (roughly, number
>of digits = precision needed), by which time the conventional advances
>in computer power will mean we're all using 10,000-bit moduli
>(especially if we have just heard that NSA has just spend $32 billion to
>build a Shor machine able to factor 3000-bit moduli :-} ).

I won't argue whether Shor's work will be implemented or not within any
given time period, but I thought that one of the most important properties
of it is that once (and if) achieved, the resources required to factor
increasingly large moduli lengths go up only polynomially, not
exponentially.

Doug Cutrell