Okamoto E, Okamoto T. Cryptosystems based on elliptic curve pairing. In: Proceedings- Modeling Decisions for Artificial Intelligence. USA: Springer; 2005. p. 13-23.E. Okamoto and T. Okamoto. Cryptosystems Based on Elliptic Curve Pairing. In Modeling Decisions for Artificial Intelligence--MDAI ...
Solving ECDLP on E(GF(3n)): Pollard’s rho method ? Using random walk ? Based on birthday paradox 1/2) (ord: Group Order) ? Complexity: O(ord ? Solving DLP over GF(36n): Function field sieve ? Efficient for small characteristics 1/3+o(1)] ? Complexity: L36n[1/3, (32/9) ...
A natural question to ask (from an algebraic perspective aiming not to put all one’s eggs in the same [pairing] basket) is whether similarly simple non-interactive adaptively secure systems can be realized in the standard model outside the world of pairing-based cryptography. Our Contribution....
The arithmetic in a finite field constitutes the core of Public Key Cryptography like RSA, ECC or pairing-based cryptography. This paper discusses an efficient hardware implementation of the Coarsely Integrated Operand Scanning method (CIOS) of Montgomery modular multiplication combined with an effective...
David Mandell Freeman (Stanford) Converting Pairing-Based Cryptosystems Eurocrypt 2010 9 / 14 A generalized framework Subgroup decision problems But wait... Isn’t DDH easy in groups with a pairing? 1 Not necessarily: DDH believed to be hard on ordinary pairing-friendly elliptic curves ...
9, No. 17 Cross Ref A Security Scheme for Video Streaming in Wireless Multimedia Sensor Networks15 October 2015 Cross Ref Anonymous Identity-Based Encryption with Bounded Leakage Resilience Cross Ref Signature Scheme Using the Root Extraction Problem on QuaternionsJournal of Applied Mathematics, Vol. ...
1 Public-Key Cryptosystems Based on Composite Degree Residuosity Classes Author: Pascal Paillier Presenter: 廖俊威 [Published in J. Stern, Ed., Advances in Cryptology- EUROCRYPT'99, vol of Lecture Notes in Computer Science, pp , Springer-Verlag, 1999.] ...
In this paper, we examine existing techniques that optimize the decentralized attribute based encryption scheme [3], such as a better construction of e Linear Secret-Sharing Scheme (LSSS) matrix, pre-processing of scalar multiplication and pairing, multi-pairing and so on. We proposed the ...
Public-Key Cryptosystems Based on Composite Degree Residuosity Classes Presenter: 陳國璋 EUROCRYPT'99, LNCS 1592, pp , By Pascal Paillier Efficient Public-Key Cryptosystem Provably Secure against Active Adversaries ASIACRYPT'99, LNCS 1716, pp , By Pascal Paillier and David Pointcheval ...
encryption.ThispaperproposesanID-basedsigncryptionschemebasedonbilinearpairingson ellipticcurves.Itisshownthatthenewschemeisanimprovedversionoftheexisting signcryptionscheme[10]bycomparingthecomputationsinboththeschemes. Keywords:Signature,Signcryption,Identitybasedcryptosystems,ID-basedsigncryption,ID- ...