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AAECC
2006
Springer
109views Algorithms» more  AAECC 2006»
13 years 4 months ago
Cryptosystems using Linear Groups
Several suggestions are presented for developing cryptosystems, both classical and public key, using a combination of combinatorial group theory and linear groups. In particular, t...
Gilbert Baumslag, Benjamin Fine, Xiaowei Xu
EUROCRYPT
2010
Springer
13 years 9 months ago
Converting Pairing-Based Cryptosystems from Composite-Order Groups to Prime-Order Groups
We develop an abstract framework that encompasses the key properties of bilinear groups of composite order that are required to construct secure pairing-based cryptosystems, and we...
David Mandell Freeman
INFORMATICALT
2007
81views more  INFORMATICALT 2007»
13 years 4 months ago
Security Flaw in Simple Generalized Group-Oriented Cryptosystem Using ElGamal Cryptosystem
A generalized group-oriented cryptosystem (GGOC) based on ElGamal cryptosystem was proposed by Yang et al. in 2003. This study shows that if the authorized decryption sets of users...
Chuan-Ming Li, Tzonelih Hwang, Narn-Yih Lee
DCC
2004
IEEE
14 years 4 months ago
Towards a Uniform Description of Several Group Based Cryptographic Primitives
The public key cryptosystems MST1 and MST2 make use of certain kinds of factorizations of finite groups. We show that generalizing such factorizations to infinite groups allows a ...
Maria Isabel Gonzalez Vasco, Consuelo Martínez, R...
ASIACRYPT
2000
Springer
13 years 9 months ago
Strengthening McEliece Cryptosystem
McEliece cryptosystem is a public-key cryptosystem based on error-correcting codes. It constitutes one of the few alternatives to cryptosystems relying on number theory. We present...
Pierre Loidreau