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 2005-09-13, 10:11 #1 koders333   3·7·281 Posts Questions about NFSNET The goal of the NFSNET project is to use the Number Field Sieve to find the factors of increasingly large numbers.I have following questions 1. Why they are working to findout the prime factors of a large number?. 2. Is factoring have any commercial /industrial applications? (the only apllication is breaking RSA,but it is not a commercial/industrial application) 3. Who sponsers this NFSNET project? 4. What they get it by running this project?
2005-09-13, 11:37   #2
R.D. Silverman

Nov 2003

1D2416 Posts

Quote:
 Originally Posted by koders333 The goal of the NFSNET project is to use the Number Field Sieve to find the factors of increasingly large numbers.I have following questions 1. Why they are working to findout the prime factors of a large number?. 2. Is factoring have any commercial /industrial applications? (the only apllication is breaking RSA,but it is not a commercial/industrial application) 3. Who sponsers this NFSNET project? 4. What they get it by running this project?
(1) The numbers being factored generally have special form that is
of interest to mathematicians. The factorizations can be useful in a number
of areas, e.g. raising the lower bound on odd perfect numbers, and
determining the multiplicative sub-groups of finite fields. Factorizations
have been used to construct LFSR's and pseudo RNG's.

(2) Not factoring per se, but knowing how hard it is allows us to choose
secure keysizes for public-key cryptographic algorithms.

(3) Noone sponsors it. It is a volunteer effort.

(4) What does anyone get out of any research project? It helps advance
the state-of-the-art.

2005-09-14, 09:49   #3
koders333

227910 Posts

Quote:
 Originally Posted by R.D. Silverman (1) The numbers being factored generally have special form that is of interest to mathematicians. The factorizations can be useful in a number of areas, e.g. raising the lower bound on odd perfect numbers, and determining the multiplicative sub-groups of finite fields. Factorizations have been used to construct LFSR's and pseudo RNG's. (2) Not factoring per se, but knowing how hard it is allows us to choose secure keysizes for public-key cryptographic algorithms. (3) Noone sponsors it. It is a volunteer effort. (4) What does anyone get out of any research project? It helps advance the state-of-the-art.
Its really great thing. Developing & running such research projects without any financial gain.

2005-09-26, 05:18   #4
koders333

10010101100002 Posts

Quote:
 Originally Posted by R.D. Silverman (1) The numbers being factored generally have special form that is of interest to mathematicians. The factorizations can be useful in a number of areas, e.g. raising the lower bound on odd perfect numbers, and determining the multiplicative sub-groups of finite fields. Factorizations have been used to construct LFSR's and pseudo RNG's. (2) Not factoring per se, but knowing how hard it is allows us to choose secure keysizes for public-key cryptographic algorithms. (3) Noone sponsors it. It is a volunteer effort. (4) What does anyone get out of any research project? It helps advance the state-of-the-art.
http://research.microsoft.com/security/
In the above link says NFSNET projects was sponserd by microsoft

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