Section: New Software and Platforms

APIP

Another Pairing Implementation in PARI

Scientific Description: Apip , Another Pairing Implementation in PARI, is a library for computing standard and optimised variants of most cryptographic pairings.

The following pairings are available: Weil, Tate, ate and twisted ate, optimised versions (à la Vercauteren–Hess) of ate and twisted ate for selected curve families.

The following methods to compute the Miller part are implemented: standard Miller double-and-add method, standard Miller using a non-adjacent form, Boxall et al. version, Boxall et al. version using a non-adjacent form.

The final exponentiation part can be computed using one of the following variants: naive exponentiation, interleaved method, Avanzi–Mihailescu's method, Kato et al.'s method, Scott et al.'s method.

Part of the library has been included into Pari/Gp proper.

Functional Description: APIP is a library for computing standard and optimised variants of most cryptographic pairings.

• Participant: Jérôme Milan

• Contact: Jérôme Milan

• URL: http://www.lix.polytechnique.fr/~milanj/apip/apip.xhtml