6 citations · 15 across the 15 of their papers we have counts for
4 papers · 1 filter
Public key exchange using semidirect product of (semi)groups
Maggie Habeeb, Delaram Kahrobaei, Charalambos Koupparis +1
In this paper, we describe a brand new key exchange protocol based on a semidirect product of (semi)groups (more specifically, on extension of a (semi)group by automorphisms), and…
Public Key Exchange Using Matrices Over Group Rings
Delaram Kahrobaei, Charalambos Koupparis, Vladimir Shpilrain
We offer a public key exchange protocol in the spirit of Diffie-Hellman, but we use (small) matrices over a group ring of a (small) symmetric group as the platform. This "nested st…
Secrecy without one-way functions
Dima Grigoriev, Vladimir Shpilrain
We show that some problems in information security can be solved without using one-way functions. The latter are usually regarded as a central concept of cryptography, but the very…
Tropical cryptography
Dima Grigoriev, Vladimir Shpilrain
We employ tropical algebras as platforms for several cryptographic schemes that would be vulnerable to linear algebra attacks were they based on "usual" algebras as platforms.