Cryptology ePrint Archive: Report 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.

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Publication Info: to appear in the Proceedings of the Conferences in memory of Ruth Michler, Contemporary Mathematics, American Mathematical Society, Providence, RI

Date: received 24 Jun 2002, last revised 13 Oct 2002

Contact author: silver at math ohio-state edu

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Version: 20021013:220501 (All versions of this report)

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