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» Cryptosystems using Linear Groups
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WCC
2005
Springer
172views Cryptology» more  WCC 2005»
16 years 3 days ago
Dimension of the Linearization Equations of the Matsumoto-Imai Cryptosystems
Abstract. The Matsumoto-Imai (MI) cryptosystem was the first multivariate public key cryptosystem proposed for practical use. Though MI is now considered insecure due to Patarinā€...
Adama Diene, Jintai Ding, Jason E. Gower, Timothy ...
ITNG
2007
IEEE
16 years 28 days ago
Fast explicit formulae for genus 2 hyperelliptic curves using projective coordinates
This contribution proposes a modification of method of divisors group operation in the Jacobian of hyperelliptic curve over even and odd characteristic fields in projective coordi...
Thomas Wollinger, Vladyslav Kovtun
159
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PKC
2007
Springer
109views Cryptology» more  PKC 2007»
16 years 23 days ago
High Order Linearization Equation (HOLE) Attack on Multivariate Public Key Cryptosystems
Abstract. In the CT-track of the 2006 RSA conference, a new multivariate public key cryptosystem, which is called the Medium Field Equation (MFE) multivariate public key cryptosyst...
Jintai Ding, Lei Hu, Xuyun Nie, Jianyu Li, John Wa...
PQCRYPTO
2010
187views Cryptology» more  PQCRYPTO 2010»
15 years 10 months ago
Information-Set Decoding for Linear Codes over Fq
The best known non-structural attacks against code-based cryptosystems are based on information-set decoding. Stern’s algorithm and its improvements are well optimized and the co...
Christiane Peters
GLOBECOM
2006
IEEE
16 years 21 days ago
A Non-Commutative Generalization of ElGamal Key Exchange using Polycyclic Groups
Abstract— In this paper, we propose a non-commutative keyexchange scheme which generalizes the classical ElGamal Cipher to polycyclic groups. We will explore other classes of gro...
Delaram Kahrobaei, Bilal Khan