The Development Of The Number Field Sieve

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The Development Of The Number Field Sieve

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Author : Arjen K. Lenstra
language : en
Publisher: Springer
Release Date : 2006-11-15

The Development Of The Number Field Sieve written by Arjen K. Lenstra and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.

The number field sieve is an algorithm for finding the prime factors of large integers. It depends on algebraic number theory. Proposed by John Pollard in 1988, the method was used in 1990 to factor the ninth Fermat number, a 155-digit integer. The algorithm is most suited to numbers of a special form, but there is a promising variant that applies in general. This volume contains six research papers that describe the operation of the number field sieve, from both theoretical and practical perspectives. Pollard's original manuscript is included. In addition, there is an annotated bibliography of directly related literature.

The Development Of The Number Field Sieve

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Author : Arjen K. Lenstra
language : en
Publisher: Springer Science & Business Media
Release Date : 1993-08-30

The Development Of The Number Field Sieve written by Arjen K. Lenstra and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-08-30 with Mathematics categories.

The number field sieve is an algorithm for finding the prime factors of large integers. It depends on algebraic number theory. Proposed by John Pollard in 1988, the method was used in 1990 to factor the ninth Fermat number, a 155-digit integer. The algorithm is most suited to numbers of a special form, but there is a promising variant that applies in general. This volume contains six research papers that describe the operation of the number field sieve, from both theoretical and practical perspectives. Pollard's original manuscript is included. In addition, there is an annotated bibliography of directly related literature.

The Development Of The Number Field Sieve

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Author : Arjen K. Lenstra
language : en
Publisher:
Release Date : 2014-01-15

The Development Of The Number Field Sieve written by Arjen K. Lenstra and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.

Mathematics Of Computation 1943 1993 A Half Century Of Computational Mathematics

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Author : Walter Gautschi
language : en
Publisher: American Mathematical Soc.
Release Date : 1994

Mathematics Of Computation 1943 1993 A Half Century Of Computational Mathematics written by Walter Gautschi and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.

Proceedings of an International Conference held in Vancouver, B.C., August 1993, to commemorate the 50th anniversary of the founding of the journal Mathematics of Computation. It consisted of a Symposium on Numerical Analysis and a Minisymposium of Computational Number Theory. This proceedings contains 14 invited papers, including two not presented at the conference--an historical essay on integer factorization, and a paper on componentwise perturbation bounds in linear algebra. The invited papers present surveys on the various subdisciplines covered by Mathematics of Computation, in a historical perspective and in a language accessible to a wide audience. The 46 contributed papers address contemporary specialized work. Annotation copyright by Book News, Inc., Portland, OR

Encyclopedia Of Cryptography Security And Privacy

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Author : Sushil Jajodia
language : en
Publisher: Springer Nature
Release Date : 2025-01-10

Encyclopedia Of Cryptography Security And Privacy written by Sushil Jajodia and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-10 with Computers categories.

A rich stream of papers and many good books have been written on cryptography, security, and privacy, but most of them assume a scholarly reader who has the time to start at the beginning and work his way through the entire text. The goal of Encyclopedia of Cryptography, Security, and Privacy, Third Edition is to make important notions of cryptography, security, and privacy accessible to readers who have an interest in a particular concept related to these areas, but who lack the time to study one of the many books in these areas. The third edition is intended as a replacement of Encyclopedia of Cryptography and Security, Second Edition that was edited by Henk van Tilborg and Sushil Jajodia and published by Springer in 2011. The goal of the third edition is to enhance on the earlier edition in several important and interesting ways. First, entries in the second edition have been updated when needed to keep pace with the advancement of state of the art. Second, as noticeable already from the title of the encyclopedia, coverage has been expanded with special emphasis to the area of privacy. Third, considering the fast pace at which information and communication technology is evolving and has evolved drastically since the last edition, entries have been expanded to provide comprehensive view and include coverage of several newer topics.

Arithmetic Of Finite Fields

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Author : Ferruh Özbudak
language : en
Publisher: Springer
Release Date : 2012-07-02

Arithmetic Of Finite Fields written by Ferruh Özbudak and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-02 with Computers categories.

This book constitutes the refereed proceedings of the 4th International Workshop on the Arithmetic of Finite Field, WAIFI 2012, held in Bochum, Germany, in July 2012. The 13 revised full papers and 4 invited talks presented were carefully reviewed and selected from 29 submissions. The papers are organized in topical sections on coding theory and code-based cryptography, Boolean functions, finite field arithmetic, equations and functions, and polynomial factorization and permutation polynomial.

Secret History

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Author : Craig Bauer
language : en
Publisher: CRC Press
Release Date : 2021-04-20

Secret History written by Craig Bauer and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-20 with Computers categories.

The first edition of this award-winning book attracted a wide audience. This second edition is both a joy to read and a useful classroom tool. Unlike traditional textbooks, it requires no mathematical prerequisites and can be read around the mathematics presented. If used as a textbook, the mathematics can be prioritized, with a book both students and instructors will enjoy reading. Secret History: The Story of Cryptology, Second Edition incorporates new material concerning various eras in the long history of cryptology. Much has happened concerning the political aspects of cryptology since the first edition appeared. The still unfolding story is updated here. The first edition of this book contained chapters devoted to the cracking of German and Japanese systems during World War II. Now the other side of this cipher war is also told, that is, how the United States was able to come up with systems that were never broken. The text is in two parts. Part I presents classic cryptology from ancient times through World War II. Part II examines modern computer cryptology. With numerous real-world examples and extensive references, the author skillfully balances the history with mathematical details, providing readers with a sound foundation in this dynamic field. FEATURES Presents a chronological development of key concepts Includes the Vigenère cipher, the one-time pad, transposition ciphers, Jefferson’s wheel cipher, Playfair cipher, ADFGX, matrix encryption, Enigma, Purple, and other classic methods Looks at the work of Claude Shannon, the origin of the National Security Agency, elliptic curve cryptography, the Data Encryption Standard, the Advanced Encryption Standard, public-key cryptography, and many other topics New chapters detail SIGABA and SIGSALY, successful systems used during World War II for text and speech, respectively Includes quantum cryptography and the impact of quantum computers

Security Privacy And Applied Cryptography Engineering

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Author : Benedikt Gierlichs
language : en
Publisher: Springer
Release Date : 2013-09-10

Security Privacy And Applied Cryptography Engineering written by Benedikt Gierlichs and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-10 with Computers categories.

This book constitutes the refereed proceedings of the Third International Conference on Security, Privacy and Applied Cryptography Engineering held in Kharagpur, India, in October 2013. The 12 papers presented were carefully reviewed and selected from 39 submissions. The papers are organized in topical sections on implementations and protocols, side channel attacks and countermeasures, identity-based identification schemes, and signatures.

Smart Innovations In Communication And Computational Sciences

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Author : Bijaya Ketan Panigrahi
language : en
Publisher: Springer
Release Date : 2018-06-18

Smart Innovations In Communication And Computational Sciences written by Bijaya Ketan Panigrahi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-18 with Technology & Engineering categories.

The book provides insights into International Conference on Smart Innovations in Communications and Computational Sciences (ICSICCS 2017) held at North West Group of Institutions, Punjab, India. It presents new advances and research results in the fields of computer and communication written by leading researchers, engineers and scientists in the domain of interest from around the world. The book includes research work in all the areas of smart innovation, systems and technologies, embedded knowledge and intelligence, innovation and sustainability, advance computing, networking and informatics. It also focuses on the knowledge-transfer methodologies and innovation strategies employed to make this happen effectively. The combination of intelligent systems tools and a broad range of applications introduce a need for a synergy of disciplines from science and technology. Sample areas include, but are not limited to smart hardware, software design, smart computing technologies, intelligent communications and networking, web and informatics and computational sciences.

Multi Chaos Fractal And Multi Fractional Artificial Intelligence Of Different Complex Systems

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Author : Yeliz Karaca
language : en
Publisher: Academic Press
Release Date : 2022-06-22

Multi Chaos Fractal And Multi Fractional Artificial Intelligence Of Different Complex Systems written by Yeliz Karaca and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-22 with Science categories.

Multi-Chaos, Fractal and Multi-Fractional Artificial Intelligence of Different Complex Systems addresses different uncertain processes inherent in the complex systems, attempting to provide global and robust optimized solutions distinctively through multifarious methods, technical analyses, modeling, optimization processes, numerical simulations, case studies as well as applications including theoretical aspects of complexity. Foregrounding Multi-chaos, Fractal and Multi-fractional in the era of Artificial Intelligence (AI), the edited book deals with multi- chaos, fractal, multifractional, fractional calculus, fractional operators, quantum, wavelet, entropy-based applications, artificial intelligence, mathematics-informed and data driven processes aside from the means of modelling, and simulations for the solution of multifaceted problems characterized by nonlinearity, non-regularity and self-similarity, frequently encountered in different complex systems. The fundamental interacting components underlying complexity, complexity thinking, processes and theory along with computational processes and technologies, with machine learning as the core component of AI demonstrate the enabling of complex data to augment some critical human skills. Appealing to an interdisciplinary network of scientists and researchers to disseminate the theory and application in medicine, neurology, mathematics, physics, biology, chemistry, information theory, engineering, computer science, social sciences and other far-reaching domains, the overarching aim is to empower out-of-the-box thinking through multifarious methods, directed towards paradoxical situations, uncertain processes, chaotic, transient and nonlinear dynamics of complex systems. - Constructs and presents a multifarious approach for critical decision-making processes embodying paradoxes and uncertainty. - Includes a combination of theory and applications with regard to multi-chaos, fractal and multi-fractional as well as AI of different complex systems and many-body systems. - Provides readers with a bridge between application of advanced computational mathematical methods and AI based on comprehensive analyses and broad theories.