IEEE Journal on Selected Areas in Communications · 1993 · 212 citations · 11 references
Hardware SecurityPublic Key AlgorithmCryptographic PrimitiveSmart CardEngineeringComputational Number TheoryInformation SecurityComputer EngineeringComputer ArchitectureHardware SystemsElliptic CurveCryptosystemComputer ScienceElliptic Curve GroupsElliptic Curve SystemBlockchainData SecurityCryptography
The authors describe a VLSI Galois field processor and how it can be applied to the implementation of elliptic curve groups. They demonstrate the feasibility of constructing very fast, and very secure, public key systems with a relatively simple device, and the possibility of putting such a system on a smart card. The registers necessary to implement the elliptic curve system will require less than 1 mm/sup 2/ (or less than 4%) of the area available on the card.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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Efficient signature generation by smart cards
C. P. Schnorr · Journal of Cryptology · 1991 · 2.7K citations
Speeding the Pollard and elliptic curve methods of factorization
Peter L. Montgomery · Mathematics of Computation · 1987 · 1.2K citations · Full text
Monte Carlo Methods for Index Computation (mod p)
J. M. Pollard · Mathematics of Computation · 1978 · 361 citations