Cryptographic multilinear map
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A cryptographic -multilinear map is a kind of multilinear map, that is, a function such that for any integers and elements , , and which in addition is efficiently computable and satisfies some security properties. It has several applications on cryptography, as key exchange protocols, identity-based encryption, and broadcast encryption. There exist constructions of cryptographic 2-multilinear maps, known as bilinear maps,[1] however, the problem of constructing such multilinear[1] maps for seems much more difficult[2] and the security of the proposed candidates is still unclear.[3]