Fast Modular Reduction

@article{Hasenplaugh2007FastMR,
  title={Fast Modular Reduction},
  author={William Hasenplaugh and Gunnar Gaubatz and Vinodh Gopal},
  journal={18th IEEE Symposium on Computer Arithmetic (ARITH '07)},
  year={2007},
  pages={225-229}
}
It is widely acknowledged that efficient modular multiplication is a key to high-performance implementation of public-key cryptography, be it classical RSA, Diffie-Hellman, or (hyper-) elliptic curve algorithms. In the recent decade, practitioners have relied mainly on two popular methods: Montgomery Multiplication and regular long-integer multiplication in combination with Barrett's modular reduction technique. In this paper, we propose a modification to Barrett's algorithm that leads to a… CONTINUE READING
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