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Abstract: , 44 equivalent, 48 admissible, 19 associated, 48 binary addition chain, 45 binary method, 43, 63 Carmichael function, 4 Carmichael number, 16, 29 Chinese Remainder Theorem, 5 complex extension, 3 conjugate, 3 CRT, 5 Dickson polynomials, 11 doubling step, 63 dual, 48 Fermat test, 15, 16 graph reduced, 48 group of units, 3 in-degree, 45 Jacobi symbol, 6 Legendre symbol, 5 Lucas chain, 62 composite, 63 degenerate, 63 simple, 63 Lucas sequence, 8 Mathematica, 23, 41 Miller-Rabin test, 18 norm, 3... (Update)
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.... y q mod p) This attack will also work in the more general case that the authority knows a small multiple cq of q with 0 c w; see [7, 8] for details. Bleichenbacher s attack is particularly pernicious as it means that if an implementer chooses g = 2 for performance reasons,...
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BibTeX entry: (Update)
D. Bleichenbacher, `Efficiency and Security of Cryptosystems based on Number Theory' Dissertation ETH No. 11404, Swiss Federal Institute of Technology, Zurich (1996) http://citeseer.ist.psu.edu/bleichenbacher96efficiency.html More
@inproceedings{ bleichenbacher96efficiency,
author = "Bleichenbacher and Maurer",
title = "On the Efficiency of One-Time Digital Signatures",
booktitle = "{ASIACRYPT}: Advances in Cryptology -- {ASIACRYPT}: International Conference on the Theory and Application of Cryptology",
publisher = "LNCS, Springer-Verlag",
year = "1996",
url = "citeseer.ist.psu.edu/bleichenbacher96efficiency.html" }
Citations (may not include all citations):25 There are infinitely many Carmichael numbers - Alford, Granville et al. - 1994
21 Analytic methods in the analysis and design of numbertheoret.. (context) - Bach - 1985
16 Open problems in number theoretic complexity (context) - Adleman, McCurley - 1994
10 Primality testing and two dimensional Abelian varieties over.. (context) - Adleman, Huang - 1992
7 Le test de primalit'e de Rabin-Miller: Un nombre compos'e qu.. (context) - Arnault - 1991
5 Rabin-Miller primality test: Composite numbers which pass it (context) - Arnault - 1995
5 the difficulty of finding reliable witnesses (context) - Alford, Granville et al. - 1994
4 Universit'e de Poitiers D'epartement de Math'ematiques (context) - Arnault, pseudo-premiers et al. - 1993
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