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» Key Improvements to XTR
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ASIACRYPT
2000
Springer
13 years 9 months ago
Key Improvements to XTR
Abstract. This paper describes improved methods for XTR key representation and parameter generation (cf. [4]). If the field characteristic is properly chosen, the size of the XTR ...
Arjen K. Lenstra, Eric R. Verheul
EUC
2005
Springer
13 years 10 months ago
Collision Attack on XTR and a Countermeasure with a Fixed Pattern
Public-key cryptosystem (PKC) is one of inevitable key technologies in order to accomplish fruitful security applications in ubiquitous computing systems. The ubiquitous computer o...
Dong-Guk Han, Tsuyoshi Takagi, Tae-Hyun Kim, Howon...
CRYPTO
2000
Springer
128views Cryptology» more  CRYPTO 2000»
13 years 9 months ago
The XTR Public Key System
This paper introduces the XTR public key system. XTR is based on a new method to represent elements of a subgroup of a multiplicative group of a finite field. Application of XTR ...
Arjen K. Lenstra, Eric R. Verheul
EUROCRYPT
2001
Springer
13 years 9 months ago
Evidence that XTR Is More Secure than Supersingular Elliptic Curve Cryptosystems
Abstract. We show that finding an efficiently computable injective homomorphism from the XTR subgroup into the group of points over GF(p2 ) of a particular type of supersingular e...
Eric R. Verheul
CRYPTO
2003
Springer
113views Cryptology» more  CRYPTO 2003»
13 years 10 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