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POSTER: Accelerating High-Precision Integer Multiplication used in Cryptosystems with GPUs

Published:20 February 2024Publication History

ABSTRACT

High-precision integer multiplication is crucial in privacy-preserving computational techniques but poses acceleration challenges on GPUs due to its complexity and the diverse bit lengths in cryptosystems. This paper introduces GIM, an efficient high-precision integer multiplication algorithm accelerated with GPUs. It employs a novel segmented integer multiplication algorithm that separates implementation details from bit length, facilitating code optimizations. We also present a computation diagram to analyze parallelization strategies, leading to a series of enhancements. Experiments demonstrate that this approach achieves a 4.47× speedup over the commonly used baseline.

References

  1. Elaine Barker, William Barker, William Burr, William Polk, and Miles Smid. 2007. NIST special publication 800-57. NIST Special publication 800, 57 (2007), 1--142.Google ScholarGoogle Scholar
  2. Steven D Galbraith. 2012. Mathematics of public key cryptography. Cambridge University Press.Google ScholarGoogle Scholar
  3. Owen Harrison and John Waldron. 2009. Efficient acceleration of asymmetric cryptography on graphics hardware. In Progress in Cryptology-AFRICACRYPT 2009: Second International Conference on Cryptology in Africa, Gammarth, Tunisia, June 21--25, 2009. Proceedings 2. Springer, 350--367.Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. Priyank Jain, Manasi Gyanchandani, and Nilay Khare. 2016. Big data privacy: a technological perspective and review. Journal of Big Data 3 (2016), 1--25.Google ScholarGoogle ScholarCross RefCross Ref
  5. Fenghua Li, Hui Li, Ben Niu, and Jinjun Chen. 2019. Privacy computing: concept, computing framework, and future development trends. Engineering 5, 6 (2019), 1179--1192.Google ScholarGoogle ScholarCross RefCross Ref
  6. NVIDIA Research Projects. 2021. CGBN: CUDA Accelerated Multiple Precision Arithmetic using Cooperative Groups. https://github.com/NVlabs/CGBN.Google ScholarGoogle Scholar
  7. Robert Szerwinski and Tim Güneysu. 2008. Exploiting the power of GPUs for asymmetric cryptography. In Cryptographic Hardware and Embedded Systems-CHES 2008: 10th International Workshop, Washington, DC, USA, August 10--13, 2008. Proceedings 10. Springer, 79--99.Google ScholarGoogle Scholar
  8. Duygu Sinanc Terzi, Ramazan Terzi, and Seref Sagiroglu. 2015. A survey on security and privacy issues in big data. In 2015 10th International Conference for Internet Technology and Secured Transactions (ICITST). IEEE, 202--207.Google ScholarGoogle ScholarCross RefCross Ref

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      • Published in

        cover image ACM Conferences
        PPoPP '24: Proceedings of the 29th ACM SIGPLAN Annual Symposium on Principles and Practice of Parallel Programming
        March 2024
        498 pages
        ISBN:9798400704352
        DOI:10.1145/3627535

        Copyright © 2024 Owner/Author(s)

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        Association for Computing Machinery

        New York, NY, United States

        Publication History

        • Published: 20 February 2024

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