[Télécharger] Elliptic Curves: Number Theory and Cryptography, Second Edition de Lawrence C. Washington PDF Ebook En Ligne

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Auteur : Lawrence C. Washington
Catégorie : Livres anglais et étrangers,Science,Mathematics
Broché : * pages
Éditeur : *
Langue : Français, Anglais

Like its bestselling predecessor, Elliptic Curves: Number Theory and Cryptography, Second Edition develops the theory of elliptic curves to provide a basis for both number theoretic and cryptographic applications. With additional exercises, this edition offers more comprehensive coverage of the fundamental theory, techniques, and applications of elliptic curves. New to the Second Edition Chapters on isogenies and hyperelliptic curves A discussion of alternative coordinate systems, such as projective, Jacobian, and Edwards coordinates, along with related computational issues A more complete treatment of the Weil and Tate–Lichtenbaum pairings Doud’s analytic method for computing torsion on elliptic curves over Q An explanation of how to perform calculations with elliptic curves in several popular computer algebra systems Taking a basic approach to elliptic curves, this accessible book prepares readers to tackle more advanced problems in the field. It introduces elliptic curves over finite fields early in the text, before moving on to interesting applications, such as cryptography, factoring, and primality testing. The book also discusses the use of elliptic curves in Fermat’s Last Theorem. Relevant abstract algebra material on group theory and fields can be found in the appendices.

Télécharger Elliptic Curves: Number Theory and Cryptography, Second Edition de Lawrence C. Washington PDF Ebook En Ligne

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The Arithmetic of Elliptic Curves / Joseph H. Silverman ~ “This is the second edition of an excellent textbook on the arithmetical theory of elliptic curves … . Although there are now a number of good books on this topic it has stood the test of time and become a popular introductory text and a standard reference. … The author has added remarks which point out their significance and connection to those parts of the theory he presents. These .

A Course in Number Theory and Cryptography / Neal Koblitz ~ Elliptic Curves. Pages 167-199. Koblitz, Neal . Preview Buy Chapter 25,95 € Show next xx. Read this book on SpringerLink cover old; Buy this book eBook 39,58 € price for Spain (gross) Buy eBook ISBN 978-1-4419-8592-7; Digitally watermarked, DRM-free; Included format: PDF; ebooks can be used on all reading devices; Immediate eBook download after purchase; Hardcover 51,95 € price for Spain .

The Arithmetic of Elliptic Curves (2nd Edition) ~ The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. The book begins with a brief discussion of the necessary algebro-geometric results, and proceeds with .

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Free Discrete Mathematics Books Download / Ebooks Online ~ This book consists of six units of study: Boolean Functions and Computer Arithmetic, Logic, Number Theory and Cryptography, Sets and Functions, Equivalence and Order, Induction, Sequences and Series. Each of this is divided into two sections. Each section contains a representative selection of problems. These vary from basic to more difficult, including proofs for study by mathematics students .

Cryptography. Theory and practice / Paterson, Maura B ~ Main Cryptography. Theory and practice. Cryptography. Theory and practice Paterson, Maura B., Stinson, Douglas Robert. Categories: Computers\\Cryptography. Year: 2019. Edition: Fourth edition. Publisher: CRC Press. Language: english. Pages: 580 / 599. ISBN 10: 1138197017. ISBN 13: 9781138197015. File: PDF, 4.30 MB. Preview. Send-to-Kindle or Email . Please login to your account first; Need .

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Discrete Mathematics and Its Applications Ser ~ It then discusses elliptic curves, primality testing, algorithms for integer factorization, computing discrete logarithms, and methods for sparse linear systems. The text also shows how number-theoretic tools are used in cryptography and cryptanalysis. A dedicated chapter on the application of number theory in public-key cryptography incorporates recent developments in pairing-based .

An Introduction to Mathematical Cryptography / Jeffrey ~ His research areas are number theory, arithmetic geometry, elliptic curves, dynamical systems and cryptography. He has authored more than120 publications and has had more than 20 doctoral students. Show all . Reviews. From the reviews: "The book is devoted to public key cryptography, whose principal goal is to allow two or more people to exchange confidential information … . The material is .

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What is the math behind elliptic curve cryptography ~ One way to do public-key cryptography is with elliptic curves. Another way is with RSA, which revolves around prime numbers. Most cryptocurrencies — Bitcoin and Ethereum included — use elliptic curves, because a 256-bit elliptic curve private key is just as secure as a 3072-bit RSA private key. Smaller keys are easier to manage and work with.

Handbook of Elliptic and Hyperelliptic Curve Cryptography ~ The Handbook of Elliptic and Hyperelliptic Curve Cryptography introduces the theory and algorithms involved in curve-based cryptography. After a very detailed exposition of the mathematical background, it provides ready-to-implement algorithms for the group operations and computation of pairings. It explores methods for point counting and constructing curves with the complex multiplication .

Computer Security & Encryption / Amazon ~ Elliptic Curves: Number Theory and Cryptography, Second Edition (Discrete Mathematics and Its Applications) (English Edition) 3 avril 2008 / Ebook Kindle. de Lawrence C. Washington. Format Kindle. EUR 28,83. Toutes Taxes Comprises. Achetez avec 1-Click ® Disponible pour le téléchargement maintenant. Vendu par : Amazon Media EU S.à r.l. Dark Mirror: Edward Snowden and the American .

Mathematics - FreeTechBooks ~ Algorithms for Modular Elliptic Curves, Second Edition. Post date: 26 Dec 2006 Describes in detail an algorithm based on modular symbols for computing modular elliptic curves. Also describes various algorithms for studying the arithmetic of elliptic curves.

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Amazon - Rational Points on Elliptic Curves - Silverman ~ The theory of elliptic curves involves a pleasing blend of algebra, geometry, analysis, and number theory. This volume stresses this interplay as it develops the basic theory, thereby providing an opportunity for advanced undergraduates to appreciate the unity of modern mathematics. At the same time, every effort has been made to use only methods and results commonly included in the .

弗罗贝尼乌斯自同态 - 维基百科，自由的百科全书 ~ Elliptic Curves: Number Theory and Cryptography, Second Edition (Discrete Mathematics and Its Applications). Chapman and Hall/CRC. 2008. Chapman and Hall/CRC. 2008. ISBN 978-1-420-07146-7 .

Amazon - Rational Points on Elliptic Curves - Silverman ~ Elliptic curves have come to occupy a central place in number theory, as the spectacular proof of Fermat's Last Theorem fifteen years ago showed. They have also found applications to more practical subjects, such as cryptography, so it's fair to say that national security and modern finance depend, at least in part, on what was at one point very abstract, theoretical mathematics. These are .

Division polynomials - Wikipedia ~ A. Enge: Elliptic Curves and their Applications to Cryptography: An Introduction. Kluwer Academic Publishers, Dordrecht, 1999. N. Koblitz: A Course in Number Theory and Cryptography, Graduate Texts in Math. No. 114, Springer-Verlag, 1987. Second edition, 1994; Müller : Die Berechnung der Punktanzahl von elliptischen kurvenüber endlichen .