Cryptographic multilinear maps using pro-p groups

TL;DR

This paper explores the use of pro-p groups in cryptographic multilinear maps, analyzing their security and potential as alternative platforms for key exchange protocols based on nilpotent groups.

Contribution

It introduces the application of pro-p groups to cryptographic multilinear maps and examines their security properties as alternative platforms.

Findings

Pro-p groups can serve as viable platforms for multilinear maps.

Security analysis suggests potential advantages over finite p-groups.

Alternative cryptographic protocols may be developed 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.