On a Relation between the Ate Pairing and the Weil Pairing for Supersingular Elliptic Curves
نویسنده
چکیده
The hyperelliptic curve Ate pairing provides an efficient way to compute a bilinear pairing on the Jacobian variety of a hyperelliptic curve. We prove that, for supersingular elliptic curves with embedding degree two, square of the Ate pairing is nothing but the Weil pairing. Using the formula, we develop an X -coordinate only pairing inversion method. However, the algorithm is still infeasible for cryptographic size problems.
منابع مشابه
Project : Supersingular Curves and the Weil Pairing in Elliptic Curve Cryptography
Even first semester calculus students are aware of how calculus, hence analysis, is used to solve problems in engineering. In recent decades the engineering world is gaining more exposure to algebra through the powerful problem solutions it provides. One area that algebra has made significant contributions to is cryptography and, more specifically, public key cryptography. In this paper we aim ...
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ورودعنوان ژورنال:
- IACR Cryptology ePrint Archive
دوره 2013 شماره
صفحات -
تاریخ انتشار 2013