# multilinear function

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## multilinear function

[¦məl·tə‚lin·ē·ər ′fəŋk·shən]
(mathematics)
A function of several variables that is a linear function of each variable when the other variables are given fixed values.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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Let Setup' be the Setup algorithm for a multilinear map, where outputs group with order p, respectively.
Run Setup'(2n) to obtain the public parameters params' for a multilinear map of target group [G.sub.2n].
(2) Combining the subset-cover framework, this paper puts forward an efficient revocable key-aggregate encryption scheme based on multilinear maps, realizing the user's access control and revocation.
The rest of the paper is organized as follows: Section 2 introduces some related knowledge, including multilinear maps, complexity assumption, and subset-cover framework.
Multilinear Maps. Multilinear maps were first put forward by Boneh and Silverberg [29], making the research and application of multilinear maps be more and more widely.
In the asymmetric multilinear maps [30], group is divided by a vector and the map operations make [mathematical expression not reproducible].
Our main construction of the revocable key-aggregate encryption scheme is based on multilinear maps and realizes data sharing and user revocation in cloud storage securely and efficiently.
We finish this section with some definitions about multilinear maps on vector lattices.
We will need to know the form of B(K,H)-valued multilinear maps on [Alpha] x ...
Since [Beta] is finite dimensional, multilinear maps on [Beta] may be extended to multilinear maps on B(K), and so it suffices to prove the result when [Beta] = B(K).
Sinclair, Completely bounded multilinear maps and [C.sup.*]-algebraic cohomology, Invent.

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