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Littérature scientifique sur le sujet « Baby-step giant-step »

Auteur : Grafiati

Publié le 4 juin 2021

Mis à jour le 5 février 2022

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Articles de revues sur le sujet "Baby-step giant-step"

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Malek, Kaqish. "Improvements to Shank`s Baby-step Giant-step Algorithm." Journal of Applied Sciences 6, no. 1 (2005): 76–79. http://dx.doi.org/10.3923/jas.2006.76.79.

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Bach, Eric, and Bryce Sandlund. "Baby-step giant-step algorithms for the symmetric group." Journal of Symbolic Computation 85 (March 2018): 55–71. http://dx.doi.org/10.1016/j.jsc.2017.07.003.

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Terr, David C. "A modification of Shanks' baby-step giant-step algorithm." Mathematics of Computation 69, no. 230 (1999): 767–74. http://dx.doi.org/10.1090/s0025-5718-99-01141-2.

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Lee, Sang-Un. "Modified Baby-Step Giant-Step Algorithm for Discrete Logarithm." Journal of the Korea Society of Computer and Information 18, no. 8 (2013): 87–93. http://dx.doi.org/10.9708/jksci.2013.18.8.087.

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Basu, S., M. F. Roy, M. Safey El Din, and É. Schost. "A Baby Step–Giant Step Roadmap Algorithm for General Algebraic Sets." Foundations of Computational Mathematics 14, no. 6 (2014): 1117–72. http://dx.doi.org/10.1007/s10208-014-9212-1.

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D. Galbraith, Steven, Ping Wang, and Fangguo Zhang. "Computing elliptic curve discrete logarithms with improved baby-step giant-step algorithm." Advances in Mathematics of Communications 11, no. 3 (2017): 453–69. http://dx.doi.org/10.3934/amc.2017038.

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Stinson, D. R. "Some baby-step giant-step algorithms for the low hamming weight discrete logarithm problem." Mathematics of Computation 71, no. 237 (2001): 379–92. http://dx.doi.org/10.1090/s0025-5718-01-01310-2.

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Yokoyama, Kazuhiro, Masaya Yasuda, Yasushi Takahashi, and Jun Kogure. "Complexity bounds on Semaev’s naive index calculus method for ECDLP." Journal of Mathematical Cryptology 14, no. 1 (2020): 460–85. http://dx.doi.org/10.1515/jmc-2019-0029.

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AbstractSince Semaev introduced summation polynomials in 2004, a number of studies have been devoted to improving the index calculus method for solving the elliptic curve discrete logarithm problem (ECDLP) with better complexity than generic methods such as Pollard’s rho method and the baby-step and giant-step method (BSGS). In this paper, we provide a deep analysis of Gröbner basis computation for solving polynomial systems appearing in the point decomposition problem (PDP) in Semaev’s naive index calculus method. Our analysis relies on linear algebra under simple statistical assumptions on s

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Abro, Adeel, Zhongliang Deng, and Kamran Ali Memon. "A Lightweight Elliptic-Elgamal-Based Authentication Scheme for Secure Device-to-Device Communication." Future Internet 11, no. 5 (2019): 108. http://dx.doi.org/10.3390/fi11050108.

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Device-to-Device (D2D) is a major part of 5G that will facilitate deployments with extended coverage where devices can act as users or relays. These relays normally act as decode and forward relays (semi-intelligent devices) with limited computational and storage capabilities. However, introducing such a technology, where users can act as relays, presents a wide range of security threats, in particular, rogue relay devices or man in the middle attacks (M-I-T-M). Second, passing fewer control messages is always advisable when considering authenticity and secrecy. To mitigate M-I-T-M and to redu

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Rumyantseva, G. N., V. N. Kartashev, Marina V. Dolinina, I. B. Osipov, A. I. Osipov, and L. A. Alekseeva. "A rare case of bilateral obstructive megaureter with a giant uretal ureterocele on the left." Russian Journal of Pediatric Surgery 24, no. 3 (2020): 205–9. http://dx.doi.org/10.18821/1560-9510-2020-24-3-205-209.

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The article discusses a case of 4-year-old patient with a bilateral obstructive megaureter of a non-functioning left kidney and with the opening of this kidney ureter into the urethra with extravasal location of a giant ureterocele. The malformation of the urinary system was accompanied by a comorbid disease of bronchopulmonary system in the form of tuberculosis of the lungs and intra-thoracic lymph nodes. At the age of one month, due to decompensation of the only functioning right kidney, urine was withdrawn by applying a ureterostomy. Later, a proximal lateral cutaneous ureterostomy was put

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Thèses sur le sujet "Baby-step giant-step"

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Kouchaki, Barzi Behnaz. "Points of High Order on Elliptic Curves : ECDSA." Thesis, Linnéuniversitetet, Institutionen för matematik (MA), 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-58449.

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This master thesis is about Elliptic Curve Digital Signature Algorithm or ECDSA and two of the known attacks on this security system. The purpose of this thesis is to find points that are likely to be points of high order on an elliptic curve. If we have a point P of high order and if Q = mP, then we have a large set of possible values of m. Therefore it is hard to solve the Elliptic Curve Discrete Logarithm Problem or ECDLP. We have investigated on the time of finding the solution of ECDLP for a certain amount of elliptic curves based on the order of the point which is used to create the digi

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Hitchcock, Yvonne Roslyn. "Elliptic Curve Cryptography for Lightweight Applications." Queensland University of Technology, 2003. http://eprints.qut.edu.au/15838/.

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Elliptic curves were first proposed as a basis for public key cryptography in the mid 1980's. They provide public key cryptosystems based on the difficulty of the elliptic curve discrete logarithm problem (ECDLP) , which is so called because of its similarity to the discrete logarithm problem (DLP) over the integers modulo a large prime. One benefit of elliptic curve cryptosystems (ECCs) is that they can use a much shorter key length than other public key cryptosystems to provide an equivalent level of security. For example, 160 bit ECCs are believed to provide about the same level of security

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Yoshida, Kayo. "Boneh-Boyen Signatures and the Strong Diffie-Hellman Problem." Thesis, 2009. http://hdl.handle.net/10012/4219.

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The Boneh-Boyen signature scheme is a short signature scheme which is provably secure in the standard model under the q-Strong Diffie-Hellman (SDH) assumption. The primary objective of this thesis is to examine the relationship between the Boneh-Boyen signature scheme and SDH. The secondary objective is to survey surrounding topics such as the generic group model, related signature schemes, intractability assumptions, and the relationship to identity-based encryption (IBE) schemes. Along these lines, we analyze the plausibility of the SDH assumption using the generic bilinear group model.

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Chapitres de livres sur le sujet "Baby-step giant-step"

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Blackburn, Simon R., and Edlyn Teske. "Baby-Step Giant-Step Algorithms for Non-uniform Distributions." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/10722028_8.

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Asghar, Hassan Jameel, Josef Pieprzyk, and Huaxiong Wang. "A New Human Identification Protocol and Coppersmith’s Baby-Step Giant-Step Algorithm." In Applied Cryptography and Network Security. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-13708-2_21.

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Coron, Jean Sébastien, David Lefranc, and Guillaume Poupard. "A New Baby-Step Giant-Step Algorithm and Some Applications to Cryptanalysis." In Cryptographic Hardware and Embedded Systems – CHES 2005. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/11545262_4.

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Matsuo, Kazuto, Jinhui Chao, and Shigeo Tsujii. "An Improved Baby Step Giant Step Algorithm for Point Counting of Hyperelliptic Curves over Finite Fields." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/3-540-45455-1_36.

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Actes de conférences sur le sujet "Baby-step giant-step"

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Kushwaha, Prabhat, and Ayan Mahalanobis. "A Probabilistic Baby-step Giant-step Algorithm." In 14th International Conference on Security and Cryptography. SCITEPRESS - Science and Technology Publications, 2017. http://dx.doi.org/10.5220/0006396304010406.

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Bach, Eric, and Bryce Sandlund. "Baby-Step Giant-Step Algorithms for the Symmetric Group." In ISSAC '16: International Symposium on Symbolic and Algebraic Computation. ACM, 2016. http://dx.doi.org/10.1145/2930889.2930930.

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Wang, Yong, Taoli Yang, and Jiang Qian. "A baby step for China but a giant leap for humans: Three basic issues with Chinese initiative of moon-based earth observation SAR system." In IGARSS 2016 - 2016 IEEE International Geoscience and Remote Sensing Symposium. IEEE, 2016. http://dx.doi.org/10.1109/igarss.2016.7730639.

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