Lucas sequences and cryptography
Overviews and explanations
The LUC family of public-key cryptographic algorithms
Lucas Sequences in Cryptography
(Wei Dai)
LUC
(@KISA.OR.KR (includes bibliography))
Topics in Public-Key Cryptography II
(Marc Gysin, 1999)
Discussion
LUC vs RSA
(Old usenet discussions)
FTP archive at funet
(Incl. papers and source code)
Papers
LUC
[
]
LUC: A New Public Key System
( Peter J. Smith, Michael J. J. Lennon, 1993)
LUC security
[
]
A New and Optimal Chosen-message Attack on RSA-type Cryptosystems
( Daniel Bleichenbacher, Marc Joye, Jean-Jacques Quisquater, 1997)
Extending the Wiener attack to RSA-type cryptosystems
(Richard Pinch)
Extending the Hastad attack to LUC
(Richard Pinch)
Security Analysis of RSA-type Cryptosystems
(Marc Joye, PhD Thesis, 1997)
Lucas sequences and cryptography
[
]
Digital signature schemes based on Lucas functions
(Patrick Horster, Markus Michels, Holger Petersen, 1995)
Protocol Failures for RSA-like Functions using Lucas Sequences and Elliptic Curves
(Marc Joye, Jean-Jacques Quisquater)
The Discrete Logarithm Problem for Lucas Sequences and a New Class of Weak RSA Moduli
(Marc Gysin, ICICS 1998)
Algorithms for Lucas sequences
[
]
[scholar]
A p+1 method of factoring
(Hugh Williams, MoC 1982)
Efficient computation of full Lucas sequences
(Marc Joye, Jean-Jacques Quisquater, 1996)
Lucas sequences
[
]
Some Properties of the Lucas Sequence (2,4,14,52,194,...)
(MathPage)
Cryptology Pointers
by
Helger Lipmaa
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(C) Helger Lipmaa 1997-2009.