Cryptographic multilinear maps using pro-p groups
This work addresses the security of cryptographic key exchange protocols for users interested in multilinear maps and their applications in cryptography, offering an incremental analysis of existing methods.
The paper investigates the security of a non-interactive key exchange protocol for n+1 users, which is based on multilinear commutator maps of nilpotent groups of class n. It specifically examines the security when applied to finite p-groups and explores the use of pro-p groups as an alternative platform.
To any nilpotent group of class n, one can associate a non-interactive key exchange protocol between n+1 users. The multilinear commutator maps associated to nilpotent groups play a key role in this protocol. In the present paper, we discuss the security of this key exchange when applied to finite p-groups and explore some alternative platforms, such as pro-p groups.