Cryptographic multilinear maps using pro-p groups

Abstract

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.

To appear in Advances in Mathematics of Communications

References in corpus (2)

• Structure computation and discrete logarithms in finite abelian p-groups
• Intense automorphisms of finite groups