Cryptology ePrint Archive: Report 2008/209

Computing Bilinear Pairings on Elliptic Curves with Automorphisms

Chang-An Zhao and Dongqing Xie and Fangguo Zhang and Jingwei Zhang and Bing-Long Chen

Abstract: In this paper, we present a novel method for constructing a super-optimal pairing with great efficiency, which we call the omega pairing. The computation of the omega pairing requires the simple final exponentiation and short loop length in Miller's algorithm which leads to a significant improvement over the previously known techniques on certain pairing-friendly curves. Experimental results show that the omega pairing is about 22% faster and 19% faster than the super-optimal pairing proposed by Scott at security level of AES 80 bits on certain pairing-friendly curves in affine coordinate systems and projective coordinate systems, respectively.

Category / Keywords: Elliptic curves, Automorphism, Pairing based cryptography, Weil pairing

Publication Info: Published by Designs, Codes and Cryptography.

Date: received 12 May 2008, last revised 9 Jun 2010

Contact author: changanzhao at gmail com

Available formats: PDF | BibTeX Citation

Note: Minor typing corrections to publication version.

Version: 20100609:125237 (All versions of this report)

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