Jason Gower
IMA

Title: Algebraic torus-based cryptography

Abstract: In 2003, Karl Rubin and Alice Silverberg proposed using
algebraic tori for use in public key cryptography. Their basic
construction can be used for Diffie-Hellman key exchange and ElGamal
encryption and authentication, as well as for improving pairing-based
cryptographic protocols associated with elliptic curves, voting schemes,
and sequential and parallel re-encrypting mix-nets. After describing the
basic construction, we will sketch some of the cryptographic applications
and discuss the efficiency/security considerations and related open
problems.

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