International Association for Cryptologic Research

International Association
for Cryptologic Research


Paper: Secure Bilinear Diffie-Hellman Bits

Steven D. Galbraith
Herbie J. Hopkins
Igor E. Shparlinski
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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.
  title={Secure Bilinear Diffie-Hellman Bits},
  booktitle={IACR Eprint archive},
  keywords={public-key cryptography / pairings, bit security},
  note={ 11975 received 15 Oct 2002},
  author={Steven D. Galbraith and Herbie J. Hopkins and Igor E. Shparlinski},