Generating Pairing-friendly Parameters for the CM Construction of

Tate-Lichtenbaum pairing is a nondegenerate bilinear map. eTL r. : A(F)[r] × A(F)/rA(F) → F∗/(F∗)r. F∗/(F∗)r is isomorphic to µr( ¯F) if ...

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Dec 21, 2015 - Abstract. Many hardware and software pairing implementations can be found in the literature and some pairing friendly parameters are given. How- ever, depending on the situation, it could be useful to generate other nice parameters (e.

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