Squared Weil and Tate pairing techniques for use with...

Cryptography – Particular algorithmic function encoding – Public key

Reexamination Certificate

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C380S028000, C380S277000

Reexamination Certificate

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10626948

ABSTRACT:
Methods and apparati are provided for use in determining “Squared Weil pairings” and/or “Squared Tate Pairing” based on an elliptic curve, for example, and which are then used to support cryptographic processing of selected information. Significant improvements are provided in computing efficiency over the conventional implementation of the Weil and Tate pairings. The resulting Squared Weil and/or Tate pairings can be substituted for conventional Weil or Tate pairings in a variety of applications.

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