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Fast Multiple Montgomery Multiplications Using Intel AVX-512IFMA Instructions

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Computational Science and Its Applications – ICCSA 2020 (ICCSA 2020)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 12253))

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Abstract

In this paper, we propose a fast implementation of multiple Montgomery multiplications using Intel AVX-512IFMA (Integer Fused Multiply-Add) instructions. The proposed implementation is based on a modified Montgomery multiplication. For Montgomery multiplication operands with 52 bits or fewer, the proposed implementation using Intel AVX-512IFMA instructions is up to approximately 12.22 and 4.30 times faster than the implementations using Intel 64 and Intel AVX-512F (Foundation) instructions on an Intel Core i3-8121U processor, respectively.

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Acknowledgments

This research was partially supported by JSPS KAKENHI Grant Number JP19K11989.

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Authors and Affiliations

  1. Center for Computational Sciences, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki, 305-8577, Japan

    Daisuke Takahashi

Authors
  1. Daisuke Takahashi
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Correspondence to Daisuke Takahashi .

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Editors and Affiliations

  1. University of Perugia, Perugia, Italy

    Osvaldo Gervasi

  2. University of Basilicata, Potenza, Potenza, Italy

    Beniamino Murgante

  3. Chair- Center of ICT/ICE, Covenant University, Ota, Nigeria

    Sanjay Misra

  4. University of Cagliari, Cagliari, Italy

    Chiara Garau

  5. University of Cagliari, Cagliari, Italy

    Ivan Blečić

  6. Clayton School of Information Technology, Monash University, Clayton, VIC, Australia

    David Taniar

  7. Department of Information Science, Kyushu Sangyo University, Fukuoka, Japan

    Bernady O. Apduhan

  8. University of Minho, Braga, Portugal

    Ana Maria A. C. Rocha

  9. Polytechnic University of Bari, Bari, Italy

    Eufemia Tarantino

  10. Polytechnic University of Bari, Bari, Italy

    Carmelo Maria Torre

  11. Department of Neurology, University of Massachusetts Medical School, Worcester, MA, USA

    Yeliz Karaca

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Takahashi, D. (2020). Fast Multiple Montgomery Multiplications Using Intel AVX-512IFMA Instructions. In: Gervasi, O., et al. Computational Science and Its Applications – ICCSA 2020. ICCSA 2020. Lecture Notes in Computer Science(), vol 12253. Springer, Cham. https://doi.org/10.1007/978-3-030-58814-4_52

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  • DOI: https://doi.org/10.1007/978-3-030-58814-4_52

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-58813-7

  • Online ISBN: 978-3-030-58814-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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