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Cryptographic multilinear maps using pro-p groups. (arXiv:2102.04513v2 [cs.CR] UPDATED)

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.