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Still faster modular multiplication

Still faster modular multiplication

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By an appropriate choice of the modulus used in RSA cryptography, it is possible to simplify the hardware for performing the required modular multiplication steps, and thereby increase the speed of encryption and decryption. The author considers this when the algorithm of Montgomery is used.

References

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    2. 2)
      • E.F. Brickell , Chaum . (1983) A fast modular multiplication algorithm with application to two-key cryptography, Advances in Cryptology - CRYPTO '82.
    3. 3)
      • P.L. Montgomery . Modular multiplication without trial division. Math. Comput. , 519 - 521
    4. 4)
      • R. Solovay , V. Strassen . A fast Monte-Carlo test for primality. SIAM J. Comput. , 84 - 85
    5. 5)
      • C.D. Walter . (1992) Faster modular multiplication by operand scaling, Advances in Cryptology - CRYPTO '91, Lecture Notes in Comp. Sci..
    6. 6)
      • S.E. Eldridge , C.D. Walter . Hardware implementation of Montgomery's modular multiplication algorithm. IEEE Trans. , 693 - 699
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