Re: Re: fattorizzato un numero di 1039 bit (Lapo Luchini)

"Ottavio G. Rizzo" <[email protected]> Thu, 24 May 2007 11:23:44 +0200
Newsgroups gmane.comp.security.italian.crypto
Organization Universita' di Milano
Message-ID <[email protected]>
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Il giorno mer, 23/05/2007 alle 22.22 +0200, Sala Massimiliano ha
scritto:
> Dunque, io non mi ecciterei piu' di tanto.
> Era un numero speciale..
> Anche se fosse di 20000 bit non vorrebbe dire nulla.
>=20
> Ben diverso sarebbe se qualcuno fattorizzasse il numero
> di "soli" 704 bit che e' nella challenge
> =20
> http://www.rsa.com/rsalabs/node.asp?id=3D2093
>=20
> Ciao
>=20
> Max

Io non starei cos=C3=AC tanto tranquillo (dal comunicato stampa):

Is the writing on the wall for 1024-bit encryption?"The answer to that
question is an unqualified yes," says Lenstra. For the moment the
standard is still secure, because it is much more difficult to factor a
number made up of two huge prime numbers, such as an RSA number, than it
is to factor a number like this one that has a special mathematical
form.  But the clock is definitely ticking."Last time, it took nine
years for us to generalize from a special to a non-special hard-to
factor number (155 digits). I won't make predictions, but let's just say
it might be a good idea to stay tuned."=20


Forse =C3=A8 il caso di mettersi tutti a studiare le curve ellittiche :)

Ottavio


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