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TVLSI
2002
118views more  TVLSI 2002»
13 years 7 months ago
A microcoded elliptic curve processor using FPGA technology
The implementation of a microcoded elliptic curve processor using field-programmable gate array technology is described. This processor implements optimal normal basis field operat...
Philip Heng Wai Leong, Ivan K. H. Leung
PKC
2010
Springer
234views Cryptology» more  PKC 2010»
13 years 9 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...
CIS
2006
Springer
13 years 11 months ago
Efficient Implementation of Tate Pairing on a Mobile Phone Using Java
Pairing-based cryptosystems (PBC) have been attracted by researchers in cryptography. Some implementations show that PBC are relatively slower than the standard public key cryptosy...
Yuto Kawahara, Tsuyoshi Takagi, Eiji Okamoto
CHES
2006
Springer
125views Cryptology» more  CHES 2006»
13 years 11 months ago
Implementing the Elliptic Curve Method of Factoring in Reconfigurable Hardware
A novel portable hardware architecture of the Elliptic Curve Method of factoring, designed and optimized for application in the relation collection step of the Number Field Sieve,...
Kris Gaj, Soonhak Kwon, Patrick Baier, Paul Kohlbr...
ITCC
2005
IEEE
14 years 1 months ago
Inversion-Free Arithmetic on Genus 3 Hyperelliptic Curves and Its Implementations
Recently, a lot of effort has been done to investigate all kinds of explicit formulae for speeding up group operation of hyperelliptic curve cryptosystem (HECC). In this paper, ex...
Xinxin Fan, Thomas J. Wollinger, Yumin Wang