Výsledky vyhľadávania - "Binary GCD algorithm"
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Existence of a limiting distribution for the binary GCD algorithm
ISSN: 1570-8667, 1570-8675Vydavateľské údaje: Elsevier B.V 01.03.2007Vydané v Journal of discrete algorithms (Amsterdam, Netherlands) (01.03.2007)“… This distribution appears in Brent's model of the analysis of the binary gcd algorithm. The existence and uniqueness of such a function was conjectured by Richard Brent in his original paper [R.P…”
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Binary GCD algorithm for computing error locator polynomials in Reed-Solomon decoding
ISSN: 0013-5194, 1350-911XVydavateľské údaje: London Institution of Electrical Engineers 23.06.2005Vydané v Electronics letters (23.06.2005)Získať plný text
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Binary GCD algorithm for computing error locator polynomials in Reed-Solomon decoding
ISSN: 0013-5194, 1350-911XVydavateľské údaje: Stevenage John Wiley & Sons, Inc 23.06.2005Vydané v Electronics letters (23.06.2005)“…The binary GCD algorithm, discovered by Stein, is an alternative to the Euclidean algorithm for computing the greatest common divisor of two integers…”
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On Acceleration of the k-ary GCD Algorithm
ISSN: 2541-7746, 2500-2198Vydavateľské údaje: Kazan Federal University 01.01.2019Vydané v Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki (01.01.2019)“…In this paper, methods of acceleration of GCD algorithms for natural numbers based on the k-ary GCD algorithm have been studied. The k-ary algorithm was…”
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(1 +i) - ary GCD Computation inZ[ i ]as an Analogue to the Binary GCD Algorithm
ISSN: 0747-7171Vydavateľské údaje: 01.10.2000Vydané v Journal of symbolic computation (01.10.2000)Získať plný text
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Multi-exponentiation algorithm based on binary GCD computation and its application to side-channel countermeasure
ISSN: 2190-8508, 2190-8516Vydavateľské údaje: Berlin/Heidelberg Springer-Verlag 01.09.2012Vydané v Journal of cryptographic engineering (01.09.2012)“…A series of algorithms for evaluation of multi-exponentiation are proposed based on the binary greatest common divisor algorithm. The proposed algorithms are…”
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Existence of a Limiting Distribution for the Binary GCD Algorithm
ISSN: 2331-8422Vydavateľské údaje: Ithaca Cornell University Library, arXiv.org 06.06.2005Vydané v arXiv.org (06.06.2005)“… This distribution appears in Brent's model of the analysis of the binary gcd algorithm. The existence and uniqueness of such a function has been conjectured by Richard Brent in his original paper \cite{brent…”
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Reversible circuit design for GCD computation in cryptography algorithms
ISSN: 0098-9886, 1097-007XVydavateľské údaje: Chichester, UK John Wiley & Sons, Ltd 01.02.2017Vydané v International journal of circuit theory and applications (01.02.2017)“…) computation using modified Binary GCD algorithm. We present the generalized design…”
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Extending the binary gcd algorithms
ISBN: 3110170469, 9783110170467Vydavateľské údaje: Germany Walter de Gruyter GmbH 2001Vydané v Public-Key Cryptography and Computational Number Theory (2001)Získať plný text
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When one vulnerable primitive turns viral: Novel single-trace attacks on ECDSA and RSA
ISSN: 2569-2925Vydavateľské údaje: Ruhr-Universität Bochum 01.03.2020Vydané v IACR transactions on cryptographic hardware and embedded systems (01.03.2020)“… In this paper, we analyze the security of the mbedTLS binary GCD algorithm, an implementation that offers interesting challenges when compared for example with OpenSSL, due to the usage of very tight…”
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When one vulnerable primitive turns viral: Novel single-trace attacks on ECDSA and RSA
ISSN: 2569-2925, 2569-2925Vydavateľské údaje: 02.03.2020Vydané v IACR transactions on cryptographic hardware and embedded systems (02.03.2020)“… In this paper, we analyze the security of the mbedTLS binary GCD algorithm, an implementation that offers interesting challenges when compared for example with OpenSSL, due to the usage of very tight…”
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A hardware algorithm for modular multiplication/division
ISSN: 0018-9340Vydavateľské údaje: IEEE 01.01.2005Vydané v IEEE transactions on computers (01.01.2005)“… The algorithm is based on Montgomery method for modular multiplication and on the extended Binary GCD algorithm for modular division…”
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Greatest common divisor and its applications in security: Case study
Vydavateľské údaje: IEEE 01.12.2020Vydané v 2020 International Conference on Interdisciplinary Cyber Physical Systems (ICPS) (01.12.2020)“… The paper initially discusses four standard algorithms used in calculating GCD: Euclidean Algorithm, Binary GCD algorithm, Dijkstra's algorithm, and Lehmer's algorithm…”
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A modular integer GCD algorithm
ISSN: 0196-6774, 1090-2678Vydavateľské údaje: San Diego, CA Elsevier Inc 01.02.2005Vydané v Journal of algorithms (01.02.2005)“… It is based on a reduction step, similar to one used in the accelerated algorithm [T. Jebelean, A generalization of the binary GCD algorithm, in: ISSAC '93…”
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A hardware algorithm for modular multiplication/division
ISSN: 0018-9340Vydavateľské údaje: 01.01.2005Vydané v IEEE transactions on computers (01.01.2005)“… The algorithm is based on Montgomery method for modular multiplication and on the extended Binary GCD algorithm for modular division…”
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GCD Computation of n Integers
ISSN: 2331-8422Vydavateľské údaje: Ithaca Cornell University Library, arXiv.org 25.07.2014Vydané v arXiv.org (25.07.2014)“… In this paper we present the algorithms for GCD computation of \(n\) integers. We extend the Euclid's algorithm and binary GCD algorithm to compute the GCD of more than…”
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Efficient GCD Computation for Big Integers on Xeon Phi Coprocessor
Vydavateľské údaje: IEEE 01.08.2014Vydané v 2014 9th IEEE International Conference on Networking, Architecture, and Storage (01.08.2014)“… This paper presents a parallel binary GCD algorithm and its implementation for big integers on the Intel Xeon Phi coprocessor…”
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A VLSI algorithm for modular multiplication/division
ISBN: 076951894X, 9780769518947ISSN: 1063-6889Vydavateľské údaje: IEEE 03.02.2004Vydané v Proceedings 2003 16th IEEE Symposium on Computer Arithmetic (03.02.2004)“… The algorithm is based on Montgomery's method for modular multiplication and on the extended binary GCD algorithm for modular division…”
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GCD computation of n integers
Vydavateľské údaje: IEEE 01.03.2014Vydané v 2014 Recent Advances in Engineering and Computational Sciences (RAECS) (01.03.2014)“… In this paper we present the algorithms for GCD computation of n integers. We extend the Euclid's algorithm and binary GCD algorithm to compute the GCD of more than…”
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High-speed, low-complexity systolic designs of novel iterative division algorithms in GF(2/sup m/)
ISSN: 0018-9340, 1557-9956Vydavateľské údaje: New York IEEE 01.03.2004Vydané v IEEE transactions on computers (01.03.2004)“…We extend the binary algorithm invented by Stein and propose novel iterative division algorithms over GF(2/sup m/) for systolic VLSI realization. While…”
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