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Minimum weight modified signed-digit representations and fast exponentiation

Minimum weight modified signed-digit representations and fast exponentiation

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A method for speeding up integer exponentiation by using a modified signed-digit (MSD) representation of the exponent is described. The method works best when the weight of the representation is minimised. An algorithm for finding a minimum weight MSD representation is presented.

References

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      • D.E. Knuth . (1981) The art of computer programming, Semi-numerical algorithms.
    2. 2)
      • A. Selby , C.J. Mitchell . Algorithms for software implementations of RSA. IEE Proc. E , 3 , 166 - 170
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      • R.L. Rivest , A. Shamir , L. Adleman . A method for obtaining digital signatures and public-key cryptosystems. Commun. ACM , 120 - 126
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      • H. Beker , F. Piper . (1982) , Cipher systems.
    5. 5)
      • B.L. Drake , R.P. Bocker , M.E. Lasher , R.H. Patterson , W.J. Miceli . Photonic computing using the modified signed-digit number representation. Opt. Eng. , 38 - 43
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