A family of implementation-friendly BN elliptic curves

G.C.C.F. Pereira, M.A. Simplício, M. Naehrig, P.S.L.M. Barreto

    Research output: Contribution to journalArticleAcademicpeer-review

    52 Citations (Scopus)
    2 Downloads (Pure)

    Abstract

    For the last decade, elliptic curve cryptography has gained increasing interest in industry and in the academic community. This is especially due to the high level of security it provides with relatively small keys and to its ability to create very efficient and multifunctional cryptographic schemes by means of bilinear pairings. Pairings require pairing-friendly elliptic curves and among the possible choices, Barreto–Naehrig (BN) curves arguably constitute one of the most versatile families. In this paper, we further expand the potential of the BN curve family. We describe BN curves that are not only computationally very simple to generate, but also specially suitable for efficient implementation on a very broad range of scenarios. We also present implementation results of the optimal ate pairing using such a curve defined over a 254-bit prime field.
    Original languageEnglish
    Pages (from-to)1319-1326
    JournalJournal of Systems and Software
    Volume84
    Issue number8
    DOIs
    Publication statusPublished - 2011

    Fingerprint Dive into the research topics of 'A family of implementation-friendly BN elliptic curves'. Together they form a unique fingerprint.

  • Cite this

    Pereira, G. C. C. F., Simplício, M. A., Naehrig, M., & Barreto, P. S. L. M. (2011). A family of implementation-friendly BN elliptic curves. Journal of Systems and Software, 84(8), 1319-1326. https://doi.org/10.1016/j.jss.2011.03.083