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Highly parallel modular multiplication in the residue number system using sum of residues reduction

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Abstract

A new algorithm for modular multiplication in the residue number system (RNS) is presented. Modular reduction is performed using a sum of residues. As all of the residues can be evaluated simultaneously, the algorithm permits a highly parallel implementation and is suitable for performing public-key cryptography operations with very low latency.

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Authors and Affiliations

  1. School of Electrical & Electronic Engineering, The University of Adelaide, North Terrace, Adelaide, SA, 5005, Australia

    Braden J. Phillips, Yinan Kong & Zhining Lim

Authors
  1. Braden J. Phillips
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  2. Yinan Kong
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  3. Zhining Lim
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Corresponding author

Correspondence to Braden J. Phillips.

Additional information

This research was supported under the Australian Research Council’s Discovery Projects funding scheme (project number DP0559582).

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Phillips, B.J., Kong, Y. & Lim, Z. Highly parallel modular multiplication in the residue number system using sum of residues reduction. AAECC 21, 249–255 (2010). https://doi.org/10.1007/s00200-010-0124-2

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  • DOI: https://doi.org/10.1007/s00200-010-0124-2

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