A New Cryptosystem Based On Hidden Order Groups

Details A New Cryptosystem Based On Hidden Order Groups A New Cryptosystem Based On Hidden Order Groups

2006-04-30

arxiv.org/abs/cs/0605003v4

Computer Science

Cryptography and Security

removed examples for multiparty key agreement and join protocols, since they are redundant

Scientific paper

Let $G_1$ be a cyclic multiplicative group of order $n$. It is known that the Diffie-Hellman problem is random self-reducible in $G_1$ with respect to a fixed generator $g$ if $\phi(n)$ is known. That is, given $g, g^x\in G_1$ and having oracle access to a `Diffie-Hellman Problem' solver with fixed generator $g$, it is possible to compute $g^{1/x} \in G_1$ in polynomial time (see theorem 3.2). On the other hand, it is not known if such a reduction exists when $\phi(n)$ is unknown (see conjuncture 3.1). We exploit this ``gap'' to construct a cryptosystem based on hidden order groups and present a practical implementation of a novel cryptographic primitive called an \emph{Oracle Strong Associative One-Way Function} (O-SAOWF). O-SAOWFs have applications in multiparty protocols. We demonstrate this by presenting a key agreement protocol for dynamic ad-hoc groups.

Affiliated with

Also associated with

No associations

Rating

A New Cryptosystem Based On Hidden Order Groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A New Cryptosystem Based On Hidden Order Groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A New Cryptosystem Based On Hidden Order Groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-47212