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Vinge on PKE ?

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NODE 5b8a19b1Vinge on PKE ?
Apologies if I repeat a question which has already been answered.
My only gateway onto the Net is very expensive, and I miss many
important postings.  Some time ago it was asked why Vernor Vinge
made passing reference to humans' naivete in trusting public key
encryption, and some posters were seeking to contact professor
Vinge for clarification.  Has any further explanation been 
discovered for his distrust of PKE?
NODE 39067df2Re: Vinge on PKE ?
> lwp@garnet.msen.com (Lou Poppler) writes:
> important postings.  Some time ago it was asked why Vernor Vinge
> made passing reference to humans' naivete in trusting public key
> encryption, and some posters were seeking to contact professor

I don't recall the conversation, but it could refer to his recent novel
"A Fire Upon the Deep."  Our galaxy is divided into a number of zones where
computation can be easier or harder than in the particular section where
the Earth hangs out.  The fastest zones have computational ability so far
beyond what's physically possible in our zone that we don't understand it.

In this situation you can't trust your security to merely computationally
difficult problems like factoring large numbers: the denizens of the faster
zones could crack them faster than slower communicators could enumerate them.

The protagonists spent a fair amount of time on a courier ship that was
carrying as its cargo 1/3 of a one-time-pad, which was intended to get
to the buyer and be XORed with the other two pieces.  This was a valuable
cargo.  After it became clear that this 1/3 was potentially compromised it
was used for some important but less provably reliable communications.

	Jim Gillogly
	Trewesday, 15 Solmath S.R. 1995, 01:49
NODE a4517030Re: Vinge on PKE ?
On Sat, 4 Feb 1995, Jim Gillogly wrote:
> "A Fire Upon the Deep."  Our galaxy is divided into a number of zones where
> computation can be easier or harder than in the particular section where
/.../ 
> In this situation you can't trust your security to merely computationally
> difficult problems like factoring large numbers: the denizens of the faster
> zones could crack them faster than slower communicators could enumerate them.

Yes, and even in the here and now, we suspect the existence of Powers with 
computational resources far in excess of our own.  But do we know for 
sure that PKE *must* rely on computational obfuscation?  Is it 
demonstrable that access to a public key always yields the secret key, 
given sufficient computational power?  Or is this only a result of the 
clumsy way we construct our keypairs here in the slow zone?
NODE 7cf60e64Vinge on PKE ?
LP+Apologies if I repeat a question which has already been answered.
  +My only gateway onto the Net is very expensive, and I miss many
  +important postings.  Some time ago it was asked why Vernor Vinge
  +made passing reference to humans' naivete in trusting public key
  +encryption, and some posters were seeking to contact professor
  +Vinge for clarification.  Has any further explanation been 
  +discovered for his distrust of PKE?

I once had a girlfriend who factored five digit numbers just by 
looking at them.  "29367?  No, that's not prime.  It's 117 times 
251..."  Good ol' Elizabeth.  That's what you get for an "IQ" of 
around 175.  Surely there might be higher "IQ's" someplace else in 
Universe?
 
Albert Szent-Georgi once told me his thought that an IQ difference of 
thirty points meant that one person solves by inspetion problems which 
no amount of explanation can make clear to the other.  He added that 
in a normal day we run into people spanning three such gulfs.
 
If an IQ of 100 routinely factors two digit decimal numbers, and you 
get another digit for every twenty or thirty points, then you're 
looking for beings with IQ's in the 1,000 range to factor 100 digits 
binary...
 
                       Cheers,
 
                               -dlj.

david.lloyd-jones@canrem.com

 * 1st 1.11 #3818 * "640k should be enough for anybody" - Bill Gates, 1981.
NODE 0b474822Re: Vinge on PKE ?
> LP+Apologies if I repeat a question which has already been answered.
>   +My only gateway onto the Net is very expensive, and I miss many
>   +important postings.  Some time ago it was asked why Vernor Vinge
>   +made passing reference to humans' naivete in trusting public key
>   +encryption, and some posters were seeking to contact professor
>   +Vinge for clarification.  Has any further explanation been 
>   +discovered for his distrust of PKE?
> 
> I once had a girlfriend who factored five digit numbers just by 
> looking at them.  "29367?  No, that's not prime.  It's 117 times 
> 251..."  Good ol' Elizabeth.  That's what you get for an "IQ" of 
> around 175.  Surely there might be higher "IQ's" someplace else in 
> Universe?
>  
> Albert Szent-Georgi once told me his thought that an IQ difference of 
> thirty points meant that one person solves by inspetion problems which 
> no amount of explanation can make clear to the other.  He added that 
> in a normal day we run into people spanning three such gulfs.
>  
> If an IQ of 100 routinely factors two digit decimal numbers, and you 
> get another digit for every twenty or thirty points, then you're 
> looking for beings with IQ's in the 1,000 range to factor 100 digits 
> binary...

There is a class of people called "idiot savants" who contain people who can also solve such
problems by inspection - their IQs are often much lower than 100, so that
blows Albert's theory.  These so-called "idiot savants" can easily factor
100 digit numbers.  The ability to solve such problems is not tied to IQ,
as there are many such people with IQs of 150+ who cannot solve them.
-- 
Ed Carp, N7EKG    			Ed.Carp@linux.org, ecarp@netcom.com
801/534-8857 voicemail			801/460-1883 digital pager
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                       ** PGP encrypted email preferred! **

Cop: "How many beers have you had tonight, bro?"
Suspect: "Seventy."  -- from the TV show "Cops"
NODE afd215ebRE: VINGE ON PKE ?
Ed Carp writes:


EC+There is a class of people called "idiot savants" who contain people who can
  +also solve such
  +problems by inspection - their IQs are often much lower than 100, so that
  +blows Albert's theory.  These so-called "idiot savants" can easily factor
  +100 digit numbers.  The ability to solve such problems is not tied to IQ,
  +as there are many such people with IQs of 150+ who cannot solve them.

 
Many idiot savants can multiply extremely large numbers, though I have 
not read of numbers with a hundred digits being involved.  Factoring 
large numbers is an extremely different kettle of fish, and I know of 
no writing about idiot savants doing difficult factoring.  If you have 
references to any such performances, I'd like to read them.
 
Szent Georgi's remark was addressed to general intelligenc in everyday 
life, not to bravura arithmetic.  My scepticism about all things IQish 
was supposed to be indicated by my use of quotation marks on "IQ".
 
                           Cheers,
 
                                -dlj.

david.lloyd-jones@canrem.com

 * 1st 1.11 #3818 * A piano is a piano is a piano. -- Gertrude Steinway.