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PKC
2010
Springer
13 years 10 months ago
2010
Springer
Research on efficient pairing implementation has focussed on reducing the loop length and on using high-degree twists. Existence of twists of degree larger than 2 is a very restric...
PKC
2010
Springer
13 years 10 months ago
2010
Springer
We present an elementary method to construct optimized lattices that are used for finding small roots of polynomial equations. Former methods first construct some large lattice i...
PKC
2010
Springer
13 years 8 months ago
2010
Springer
This paper considers a generalized form for Hessian curves. The family of generalized Hessian curves covers more isomorphism classes of elliptic curves. Over a finite filed Fq, it ...
PKC
2010
Springer
13 years 10 months ago
2010
Springer
We propose new and improved instantiations of lossy trapdoor functions (Peikert and Waters, STOC ’08), and correlation-secure trapdoor functions (Rosen and Segev, TCC ’09). Ou...
PKC
2010
Springer
13 years 8 months ago
2010
Springer
Abstract. Pairings on elliptic curves over finite fields are crucial for constructing various cryptographic schemes. The T pairing on supersingular curves over GF(3n ) is particula...