Suchergebnisse - Binary GCD algorithm
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(1 +i) - ary GCD Computation inZ[ i ]as an Analogue to the Binary GCD Algorithm
ISSN: 0747-7171Veröffentlicht: 01.10.2000Veröffentlicht in Journal of symbolic computation (01.10.2000)Volltext
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Memory Tampering Attack on Binary GCD Based Inversion Algorithms
ISSN: 0885-7458, 1573-7640Veröffentlicht: New York Springer US 01.08.2019Veröffentlicht in International journal of parallel programming (01.08.2019)“… limit the output space of binary GCD based modular inversion algorithm implementations …”
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Existence of a limiting distribution for the binary GCD algorithm
ISSN: 1570-8667, 1570-8675Veröffentlicht: Elsevier B.V 01.03.2007Veröffentlicht in 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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On Acceleration of the k-ary GCD Algorithm
ISSN: 2541-7746, 2500-2198Veröffentlicht: Kazan Federal University 01.01.2019Veröffentlicht in 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 …”
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Binary GCD algorithm for computing error locator polynomials in Reed-Solomon decoding
ISSN: 0013-5194, 1350-911XVeröffentlicht: London Institution of Electrical Engineers 23.06.2005Veröffentlicht in Electronics letters (23.06.2005)Volltext
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Binary GCD algorithm for computing error locator polynomials in Reed-Solomon decoding
ISSN: 0013-5194, 1350-911XVeröffentlicht: Stevenage John Wiley & Sons, Inc 23.06.2005Veröffentlicht in 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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Multi-exponentiation algorithm based on binary GCD computation and its application to side-channel countermeasure
ISSN: 2190-8508, 2190-8516Veröffentlicht: Berlin/Heidelberg Springer-Verlag 01.09.2012Veröffentlicht in 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 …”
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Reversible circuit design for GCD computation in cryptography algorithms
ISSN: 0098-9886, 1097-007XVeröffentlicht: Chichester, UK John Wiley & Sons, Ltd 01.02.2017Veröffentlicht in 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, 9783110170467Veröffentlicht: Germany Walter de Gruyter GmbH 2001Veröffentlicht in Public-Key Cryptography and Computational Number Theory (2001)Volltext
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Existence of a Limiting Distribution for the Binary GCD Algorithm
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 06.06.2005Veröffentlicht in 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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A redundant binary Euclidean GCD algorithm
ISBN: 0818691514, 9780818691515Veröffentlicht: IEEE Comput. Soc. Press 1991Veröffentlicht in Computer Arithmetic 1991 IEEE Symposium On (1991)“… An efficient implementation of the Euclidean GCD (greatest common divisor) algorithm employing the redundant binary number system is described …”
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A modular integer GCD algorithm
ISSN: 0196-6774, 1090-2678Veröffentlicht: San Diego, CA Elsevier Inc 01.02.2005Veröffentlicht in 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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When one vulnerable primitive turns viral: Novel single-trace attacks on ECDSA and RSA
ISSN: 2569-2925Veröffentlicht: Ruhr-Universität Bochum 01.03.2020Veröffentlicht in 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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An Efficient All-to-All GCD Algorithm for Low Entropy RSA Key Factorization
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 06.05.2024Veröffentlicht in arXiv.org (06.05.2024)“… RSA is an incredibly successful and useful asymmetric encryption algorithm. One of the types of implementation flaws in RSA is low entropy of the key generation, specifically the prime number creation stage …”
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Hardware Implementation of Fast Division Algorithm for GF(2m)
ISBN: 8955191294, 9788955191295Veröffentlicht: IEEE 2006Veröffentlicht in The 8th International Conference on Advanced Communication Technology : toward the era of ubiquitous networks and societies : ICACT 2006 : Phoenix Park, Korea, Feb. 20-22, 2006 : proceedings (2006)“… The algorithm implemented is based on the binary extended GCD algorithm. We have shown that the computation speed of the proposed algorithm is significantly improved than the previous approach …”
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GCD Computation of n Integers
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 25.07.2014Veröffentlicht in 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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The Mixed Binary Euclid Algorithm
ISSN: 1571-0653, 1571-0653Veröffentlicht: Elsevier B.V 01.12.2009Veröffentlicht in Electronic notes in discrete mathematics (01.12.2009)“… We present a new GCD algorithm for two integers that combines both the Euclidean and the binary gcd approaches …”
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Lower bounds for decision problems in imaginary, norm-Euclidean quadratic integer rings
ISSN: 0747-7171, 1095-855XVeröffentlicht: Elsevier Ltd 01.06.2009Veröffentlicht in Journal of symbolic computation (01.06.2009)“… In each imaginary, norm-Euclidean quadratic integer ring, a known binary-like gcd algorithm has complexity that is quadratic in our lower bound …”
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Efficient algorithms for the gcd and cubic residuosity in the ring of Eisenstein integers
ISSN: 0747-7171, 1095-855XVeröffentlicht: Elsevier Ltd 01.06.2005Veröffentlicht in Journal of symbolic computation (01.06.2005)“… the integers extended with ζ , a complex primitive third root of unity. The algorithms are similar and may be seen as generalisations of the binary integer gcd and derived Jacobi symbol algorithms …”
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Efficient GCD Computation for Big Integers on Xeon Phi Coprocessor
Veröffentlicht: IEEE 01.08.2014Veröffentlicht in 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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