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» LUC: A New Public Key System
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SEC
1993
14 years 6 days ago
LUC: A New Public Key System
We describe public key cryptosystems and analyse the RSA cryptosystem, pointing out a weakness (already known) of the RSA system. We define Lucas functions and derive some of thei...
Peter J. Smith, Michael J. J. Lennon
CRYPTO
2003
Springer
113views Cryptology» more  CRYPTO 2003»
14 years 4 months ago
Torus-Based Cryptography
We introduce the concept of torus-based cryptography, give a new public key system called CEILIDH, and compare it to other discrete log based systems including Lucas-based systems ...
Karl Rubin, Alice Silverberg
CRYPTO
2000
Springer
151views Cryptology» more  CRYPTO 2000»
14 years 3 months ago
New Public-Key Cryptosystem Using Braid Groups
Abstract. The braid groups are infinite non-commutative groups naturally arising from geometric braids. The aim of this article is twofold. One is to show that the braid groups ca...
Ki Hyoung Ko, Sangjin Lee, Jung Hee Cheon, Jae Woo...
PKC
2012
Springer
212views Cryptology» more  PKC 2012»
12 years 1 months ago
Public-Key Cryptography from New Multivariate Quadratic Assumptions
In this work, we study a new multivariate quadratic (MQ) assumption that can be used to construct public-key encryption schemes. In particular, we research in the following two di...
Yun-Ju Huang, Feng-Hao Liu, Bo-Yin Yang
CCS
1998
ACM
14 years 3 months ago
A New Public Key Cryptosystem Based on Higher Residues
This paper describes a new public-key cryptosystem based on the hardness of computing higher residues modulo a composite RSA integer. We introduce two versions of our scheme, one d...
David Naccache, Jacques Stern