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Paper 2002/080

Applications of Multilinear Forms to Cryptography

Dan Boneh and Alice Silverberg

Abstract

We study the problem of finding efficiently computable non-degenerate multilinear maps from (G_1)^n to G_2, where G_1 and G_2 are groups of the same prime order, and where computing discrete logarithms in G_1 is hard. We present several applications to cryptography, explore directions for building such maps, and give some reasons to believe that finding examples with n > 2 may be difficult.

Metadata
Available format(s)
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Publication info
Published elsewhere. to appear in the Proceedings of the Conferences in memory of Ruth Michler, Contemporary Mathematics, American Mathematical Society, Providence, RI
Contact author(s)
silver @ math ohio-state edu
History
2018-04-30: last of 2 revisions
2002-06-24: received
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Short URL
https://ia.cr/2002/080
License
Creative Commons Attribution
CC BY
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