140
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PKC
15 years 3 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...
126
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PKC
15 years 5 months ago
2010 Springer
Lossy Trapdoor Functions (LTDFs), introduced by Peikert and Waters (STOC 2008) have been useful for building many cryptographic primitives. In particular, by using an LTDF that los...
112
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PKC
15 years 3 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 ...
124
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PKC
15 years 5 months ago
2010 Springer
Abstract. In this paper, we fully break the Algebraic Surface Cryptosystem (ASC for short) proposed at PKC’2009 [3]. This system is based on an unusual problem in multivariate cr...
119
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PKC
14 years 11 months ago
2010 Springer
The Pollard kangaroo method solves the discrete logarithm problem (DLP) in an interval of size N with heuristic average case expected running time approximately 2 √ N group opera...
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Cryptology