Software Implementation of Pairing Based Cryptography on FPGA

Abstract

This paper presents the software implementation of Weil, Tate, Ate and Optimal Ate pairings in Jacobean coordinates, over Barreto-Naehrig curve, on Virtex-5 using the MicroBlaze software processor and the ZedBoard Zynq-7000 platform using ARM hardcore processor. The most pairing functions are constructed on the same model, one execution of the Miller’s algorithm plus a final exponentiation, which can be programed with addition chain method. Our flexible system can be performed for any curve parameters.