Montgomery Multiplication Using Vector Instructions View Full Text


Ontology type: schema:Chapter      Open Access: True


Chapter Info

DATE

2014

AUTHORS

Joppe W. Bos , Peter L. Montgomery , Daniel Shumow , Gregory M. Zaverucha

ABSTRACT

In this paper we present a parallel approach to compute interleaved Montgomery multiplication. This approach is particularly suitable to be computed on 2-way single instruction, multiple data platforms as can be found on most modern computer architectures in the form of vector instruction set extensions. We have implemented this approach for tablet devices which run the x86 architecture (Intel Atom Z2760) using SSE2 instructions as well as devices which run on the ARM platform (Qualcomm MSM8960, NVIDIA Tegra 3 and 4) using NEON instructions. When instantiating modular exponentiation with this parallel version of Montgomery multiplication we observed a performance increase of more than a factor of 1.5 compared to the sequential implementation in OpenSSL for the classical arithmetic logic unit on the Atom platform for 2048-bit moduli. More... »

PAGES

471-489

References to SciGraph publications

  • 2005. Energy-Efficient Software Implementation of Long Integer Modular Arithmetic in CRYPTOGRAPHIC HARDWARE AND EMBEDDED SYSTEMS – CHES 2005
  • 2009. Efficient Acceleration of Asymmetric Cryptography on Graphics Hardware in PROGRESS IN CRYPTOLOGY – AFRICACRYPT 2009
  • 2001-05-18. Systolic-Arrays for Modular Exponentiation Using Montgomery Method in ADVANCES IN CRYPTOLOGY — EUROCRYPT’ 92
  • 2012. Public Keys in ADVANCES IN CRYPTOLOGY – CRYPTO 2012
  • 2001-05-18. Massively parallel elliptic curve factoring in ADVANCES IN CRYPTOLOGY — EUROCRYPT’ 92
  • 2014. Efficient and Secure Algorithms for GLV-Based Scalar Multiplication and Their Implementation on GLV-GLS Curves in TOPICS IN CRYPTOLOGY – CT-RSA 2014
  • 2009. On Software Parallel Implementation of Cryptographic Pairings in SELECTED AREAS IN CRYPTOGRAPHY
  • 2012. Software Implementation of Modular Exponentiation, Using Advanced Vector Instructions Architectures in ARITHMETIC OF FINITE FIELDS
  • Book

    TITLE

    Selected Areas in Cryptography -- SAC 2013

    ISBN

    978-3-662-43413-0
    978-3-662-43414-7

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-3-662-43414-7_24

    DOI

    http://dx.doi.org/10.1007/978-3-662-43414-7_24

    DIMENSIONS

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