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How to Improve an Exponentiation Black-Box  (Make Corrections)  
[Published in K. Nyberg, Ed., Advances in Cryptology - EUROCRYPT '98, vol....



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Abstract: In this paper we present a method for improving the performance of RSA-type exponentiations. The scheme is based on the observation that replacing the exponent d by d # = d + k#(n) has no arithmetic impact but results in significant speed-ups when k is properly chosen. (Update)

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BibTeX entry:   (Update)

@misc{ nyberg-how,
  author = "Published In Nyberg",
  title = "How to Improve an Exponentiation Black-Box",
  url = "citeseer.ist.psu.edu/738424.html" }
Citations (may not include all citations):
860   The Theory of Error-Correcting Codes (context) - MacWilliams, Sloane - 1977
216   Volume 2: Seminumerical Algorithms (context) - Knuth, of et al. - 1981
82   A signed binary multiplication technique (context) - Booth - 1951
48   Fast decipherment algorithm for RSA public-key cryptosystem (context) - Quisquater, Couvreur - 1982
25   On arithmetic weight for a general radix representation of i.. (context) - Clark, Liang - 1973
18   Redundant integer representations and fast exponentiation (context) - Gollmann, Han et al. - 1996
17   Exponentiating faster with addition chains (context) - Yacobi - 1991
12   Fast square-and-multiply exponentiation for RSA (context) - Hui, Lam - 1994
10   Resource requirements for the application of addition chains.. (context) - Sauerbrey, Dietel - 1992
8   Fast exponentiation in cryptography (context) - Bocharova, Kudryashov - 1995
8   Modular multiplication hardware algorithms with a redundant .. (context) - Takagi, Yajima - 1992
6   Arithmetic norms and bounds of the arithmetic AN codes (context) - Chiang, Reed - 1970
6   Linear numeration systems of order two (context) - Frougny - 1988
6   High-radix and bit re-coding techniques for modular exponent.. (context) - Koc - 1991

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