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IMA
2009
Springer
152views Cryptology» more  IMA 2009»
14 years 4 months ago
Double-Exponentiation in Factor-4 Groups and Its Applications
In previous work we showed how to compress certain prime-order subgroups of the cyclotomic subgroups of orders 22m + 1 of the multiplicative groups of F∗ 24m by a factor of 4. We...
Koray Karabina
CNSR
2008
IEEE
214views Communications» more  CNSR 2008»
14 years 4 months ago
HGKM: A Group-Based Key Management Scheme for Sensor Networks Using Deployment Knowledge
Key establishment plays a central role in authentication and encryption in wireless sensor networks, especially when they are mainly deployed in hostile environments. Because of t...
Ngo Trong Canh, Young-Koo Lee, Sungyoung Lee
CANS
2009
Springer
121views Cryptology» more  CANS 2009»
14 years 4 months ago
On Cryptographic Schemes Based on Discrete Logarithms and Factoring
Abstract. At CRYPTO 2003, Rubin and Silverberg introduced the concept of torus-based cryptography over a finite field. We extend their setting to the ring of integers modulo N. W...
Marc Joye
IMA
2009
Springer
134views Cryptology» more  IMA 2009»
14 years 4 months ago
The Rayleigh Quotient of Bent Functions
The Rayleigh quotient of a bent function is an invariant under the action of the orthogonal group, and it measures the distance of the function to its dual. An efficient algorithm ...
Lars Eirik Danielsen, Matthew G. Parker, Patrick S...
PAIRING
2007
Springer
140views Cryptology» more  PAIRING 2007»
14 years 3 months ago
The Tate Pairing Via Elliptic Nets
We derive a new algorithm for computing the Tate pairing on an elliptic curve over a finite field. The algorithm uses a generalisation of elliptic divisibility sequences known as...
Katherine E. Stange