Diffie and Hellman presented the first non-interactive key exchange (NIKE) for two parties. Until recently, it was not known how to perform multi-party NIKE. The recent breakthrough results on constructions of multilinear maps and indistinguishability obfuscation have led to advancements in the area of multi-party NIKE by Boneh and Zhandry. However, just like in the other applications of multilinear maps, the known constructions of multi-party NIKE based on multilinear maps have only selective security: that is, the constructions can be proven secure only against adversaries that attack a known set of parties not adaptively depending on, say the public parameters. Achieving adaptively secure multi-party NIKE was still left as an important open problem.