Suchergebnisse - Binary GCD algorithm

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    Memory Tampering Attack on Binary GCD Based Inversion Algorithms von Aldaya, Alejandro Cabrera, Brumley, Billy Bob, Sarmiento, Alejandro J. Cabrera, Sánchez-Solano, Santiago

    ISSN: 0885-7458, 1573-7640
    Veröffentlicht: New York Springer US 01.08.2019
    Veröffentlicht in International journal of parallel programming (01.08.2019)
    “… limit the output space of binary GCD based modular inversion algorithm implementations …”
    Volltext
    Journal Article
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    Existence of a limiting distribution for the binary GCD algorithm von Maze, Gérard

    ISSN: 1570-8667, 1570-8675
    Veröffentlicht: Elsevier B.V 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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    Journal Article
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    On Acceleration of the k-ary GCD Algorithm von Amer, I., Ishmukhametov, S.T.

    ISSN: 2541-7746, 2500-2198
    Veröffentlicht: Kazan Federal University 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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    Journal Article
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    Binary GCD algorithm for computing error locator polynomials in Reed-Solomon decoding von ARGIIELLO, F

    ISSN: 0013-5194, 1350-911X
    Veröffentlicht: London Institution of Electrical Engineers 23.06.2005
    Veröffentlicht in Electronics letters (23.06.2005)
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    Journal Article
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    Binary GCD algorithm for computing error locator polynomials in Reed-Solomon decoding von Argueello, F

    ISSN: 0013-5194, 1350-911X
    Veröffentlicht: Stevenage John Wiley & Sons, Inc 23.06.2005
    Veröffentlicht 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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    Journal Article
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    Multi-exponentiation algorithm based on binary GCD computation and its application to side-channel countermeasure von Yen, Sung-Ming, Chen, Chien-Ning, Moon, SangJae

    ISSN: 2190-8508, 2190-8516
    Veröffentlicht: Berlin/Heidelberg Springer-Verlag 01.09.2012
    Veröffentlicht 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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    Journal Article
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    Reversible circuit design for GCD computation in cryptography algorithms von Jayashree, H. V., Kotethota, Skanda, Agrawal, V. K.

    ISSN: 0098-9886, 1097-007X
    Veröffentlicht: Chichester, UK John Wiley & Sons, Ltd 01.02.2017
    “… ) computation using modified Binary GCD algorithm. We present the generalized design …”
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    Journal Article
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    Extending the binary gcd algorithms von Kubiak, Przemysław

    ISBN: 3110170469, 9783110170467
    Veröffentlicht: Germany Walter de Gruyter GmbH 2001
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    Buchkapitel
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    Existence of a Limiting Distribution for the Binary GCD Algorithm von Maze, Gerard

    ISSN: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 06.06.2005
    Veröffentlicht 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 …”
    Volltext
    Paper
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    A redundant binary Euclidean GCD algorithm von Parikh, S.N., Matula, D.W.

    ISBN: 0818691514, 9780818691515
    Veröffentlicht: IEEE Comput. Soc. Press 1991
    Veröffentlicht 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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    Tagungsbericht
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    A modular integer GCD algorithm von Weber, Kenneth, Trevisan, Vilmar, Martins, Luiz Felipe

    ISSN: 0196-6774, 1090-2678
    Veröffentlicht: San Diego, CA Elsevier Inc 01.02.2005
    Veröffentlicht 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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    Journal Article
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    When one vulnerable primitive turns viral: Novel single-trace attacks on ECDSA and RSA von Alejandro Cabrera Aldaya, Billy Bob Brumley

    ISSN: 2569-2925
    Veröffentlicht: Ruhr-Universität Bochum 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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    Journal Article
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    An Efficient All-to-All GCD Algorithm for Low Entropy RSA Key Factorization von Pelofske, Elijah

    ISSN: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 06.05.2024
    Veröffentlicht 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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    Paper
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    Hardware Implementation of Fast Division Algorithm for GF(2m) von Min-Sup Kang, Kwang-Ho Lee

    ISBN: 8955191294, 9788955191295
    Veröffentlicht: IEEE 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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    Tagungsbericht
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    GCD Computation of n Integers von Dwivedi, Shri Prakash

    ISSN: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 25.07.2014
    Veröffentlicht 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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    Paper
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    The Mixed Binary Euclid Algorithm von Sedjelmaci, Sidi Mohamed

    ISSN: 1571-0653, 1571-0653
    Veröffentlicht: Elsevier B.V 01.12.2009
    Veröffentlicht 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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    Journal Article
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    Lower bounds for decision problems in imaginary, norm-Euclidean quadratic integer rings von Busch, J.

    ISSN: 0747-7171, 1095-855X
    Veröffentlicht: Elsevier Ltd 01.06.2009
    Veröffentlicht 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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    Journal Article
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    Efficient algorithms for the gcd and cubic residuosity in the ring of Eisenstein integers von Damgård, Ivan Bjerre, Frandsen, Gudmund Skovbjerg

    ISSN: 0747-7171, 1095-855X
    Veröffentlicht: Elsevier Ltd 01.06.2005
    Veröffentlicht 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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    Journal Article
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    Efficient GCD Computation for Big Integers on Xeon Phi Coprocessor von Jie Chen, Watson, William, Chen, Mayee F.

    Veröffentlicht: IEEE 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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    Tagungsbericht