[Resource Topic] 2002/155: Secure Bilinear Diffie-Hellman Bits

Welcome to the resource topic for 2002/155

Title:
Secure Bilinear Diffie-Hellman Bits

Authors: Steven D. Galbraith, Herbie J. Hopkins, Igor E. Shparlinski

Abstract:

The Weil and Tate pairings are a popular new
gadget in cryptography and have found many applications,
including identity-based cryptography.
In particular, the pairings have been used for key exchange
protocols.
This paper studies the bit security of keys obtained
using protocols based on pairings (that is,
we show that obtaining certain bits of the common key
is as hard as computing the entire key).
These results are valuable as they give insight into
how many ``hard-core’’ bits can be obtained from
key exchange using pairings.

ePrint: https://eprint.iacr.org/2002/155

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