Timeline for Generating a set of integer passwords that can be securely authenticated
Current License: CC BY-SA 3.0
9 events
when toggle format | what | by | license | comment | |
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May 28, 2012 at 15:52 | answer | added | none | timeline score: 0 | |
May 28, 2012 at 13:14 | vote | accept | Vincent Tjeng | ||
May 28, 2012 at 0:25 | answer | added | Aaron Meyerowitz | timeline score: 0 | |
May 27, 2012 at 14:50 | comment | added | Vincent Tjeng | Hi @Max, I read up on the secret sharing scheme, and, based on what I've understood, I think that problem and the one I've posed could be related but are not the same. In fact, I believe that secret sharing is only "interesting" when $k>1$. Substituting $k=1$ into most solutions for the secret-sharing schemes I've found do not address conditions 2 & 3 since they are not designed to. | |
May 27, 2012 at 14:20 | comment | added | Vincent Tjeng | @zeb That sounds like a pretty good solution! When you say that there is no guarantee that factoring is hard, do you mean that the system would be approximately as secure as encryption schemes like the RSA algorithm? | |
May 27, 2012 at 9:46 | comment | added | Max Horn | This sounds like a special case of a $(n,k)$-threshold scheme. Such a scheme can be used to share a secrete among $n$ individuals, such that any subset of at least $k$ of them can recover the secret. You are interested in the case $k=1$. There are tons of material on that in the literature; indeed, the Wikipedia page might be a good starting point: en.wikipedia.org/wiki/Secret_sharing | |
May 27, 2012 at 8:37 | answer | added | Federico Poloni | timeline score: 3 | |
May 27, 2012 at 8:08 | comment | added | zeb | Here's a simple idea: Let $P$ be the product of $2k$ large primes, half of which are congruent to $1$ modulo $4$, and consider the properties of being a prime, being a divisor of $P$, and being congruent to $1$ modulo $4$. Unfortunately, there is no guarantee that factoring is hard... | |
May 27, 2012 at 6:18 | history | asked | Vincent Tjeng | CC BY-SA 3.0 |