Boneh et al., 2001 - Google Patents

On the unpredictability of bits of the elliptic curve Diffie-Hellman scheme

Boneh et al., 2001

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Document ID
4247544027734742944
Author
Boneh D
Shparlinski I
Publication year
Publication venue
Annual international cryptology conference

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Abstract Let E\left/EF\right.\kern-\nulldelimiterspace F _p be an elliptic curve, and E\left/EF\right.\kern-\nulldelimiterspace F _p. Define the Diffie-Hellman function as DH E, G (aG, bG)= abG. We show that if there is an efficient algorithm for predicting the LSB of the x …
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    • H04L9/3066Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy involving algebraic varieties, e.g. elliptic or hyper-elliptic curves
    • H04L9/3073Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy involving algebraic varieties, e.g. elliptic or hyper-elliptic curves involving pairings, e.g. identity based encryption [IBE], bilinear mappings or bilinear pairings, e.g. Weil or Tate pairing
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