20131026, 01:28  #1 
Aug 2003
Snicker, AL
3C0_{16} Posts 
Laymans explanation of RSA encryption

20131026, 02:11  #2 
Tribal Bullet
Oct 2004
3545_{10} Posts 
Actually the post is more about elliptic curve crypto than RSA...

20131104, 17:25  #3  
"Bob Silverman"
Nov 2003
North of Boston
2^{3}·3·311 Posts 
Quote:
"These factoring algorithms get more efficient as the size of the numbers being factored gets larger. The gap between the difficulty of factoring large numbers and multiplying large numbers is shrinking as the number (i.e. the key's bit length) gets larger. As the resources available to decrypt numbers increase, the size of the keys needs to grow even faster. " This is totally wrong. The gap between multiplying large numbers and factoring large numbers is GROWING as the numbers get larger. Multiplying N by N takes time M(N) := O(log N loglog N logloglog N) via convolution methods. This is polynomial in log N. Factoring takes (via GNFS) L(N, 1/3). This is subexponential. lim N>oo L(N,1/3)/M(N) > oo. The assertion is so grossly and trivially wrong that it makes me wonder if the author knows what the f*ck he is doing. 

20131104, 20:50  #4  
∂^{2}ω=0
Sep 2002
República de California
3×7×13×43 Posts 
Quote:
I mention this because speaking of "gross inaccuracies", PBS Nova last week aired a segment on interesting science going on as one moves down the temperature scale  very close to 0Kthey discussed BoseEinstein condensates and quantum computers, which will revolutionize tasks such as "factorization and ... weather prediction." I was rather taken aback to hear such abject nonsense coming from writers for that show. 

Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
not exactly in laymans terms, but interesting Riemann site  Fusion_power  Lounge  0  20130927 17:52 
Encryption and governments  retina  Soap Box  119  20120228 05:00 
Bounds explanation  Uncwilly  Lounge  4  20110401 19:15 
A good encryption ?  science_man_88  Soap Box  14  20101014 18:31 
Interesting Encryption problem  FDCmercs  Math  0  20070107 15:50 