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ANTS
2008
Springer
106views Algorithms» more  ANTS 2008»
13 years 8 months ago
Computing in Component Groups of Elliptic Curves
Let K be a p-adic local field and E an elliptic curve defined over K. The component group of E is the group E(K)/E0(K), where E0(K) denotes the subgroup of points of good reduction...
J. E. Cremona
CHES
2008
Springer
134views Cryptology» more  CHES 2008»
13 years 8 months ago
Ultra High Performance ECC over NIST Primes on Commercial FPGAs
Elliptic Curve Cryptosystems (ECC) have gained increasing acceptance in practice due to their significantly smaller bit size of the operands compared to other public-key cryptosyst...
Tim Güneysu, Christof Paar
CHES
2009
Springer
230views Cryptology» more  CHES 2009»
14 years 6 months ago
Designing an ASIP for Cryptographic Pairings over Barreto-Naehrig Curves
Abstract. This paper presents a design-space exploration of an applicationspecific instruction-set processor (ASIP) for the computation of various cryptographic pairings over Barre...
David Kammler, Diandian Zhang, Dominik Auras, Gerd...
PKC
2010
Springer
234views Cryptology» more  PKC 2010»
13 years 8 months ago
Solving a 676-Bit Discrete Logarithm Problem in GF(36n)
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...
Takuya Hayashi, Naoyuki Shinohara, Lihua Wang, Shi...
JUCS
2008
140views more  JUCS 2008»
13 years 6 months ago
Parallel Formulations of Scalar Multiplication on Koblitz Curves
We present an algorithm that by using the and -1 Frobenius operators concurrently allows us to obtain a parallelized version of the classical -and-add scalar multiplication algor...
Omran Ahmadi, Darrel Hankerson, Francisco Rodr&iac...