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Wednesday, August 5, 2020 | History

5 edition of Elliptic curves and their applications to cryptography found in the catalog.

Elliptic curves and their applications to cryptography

an introduction

by Andreas Enge

  • 332 Want to read
  • 7 Currently reading

Published by Kluwer Academic in Boston .
Written in English

    Subjects:
  • Computer security.,
  • Cryptography.,
  • Curves, Elliptic.

  • Edition Notes

    Includes bibliographical references (p. [153]-160) and index.

    Statementby Andreas Enge.
    Classifications
    LC ClassificationsQA76.9.A25 E544 1999
    The Physical Object
    Paginationxvi, 164 p. ;
    Number of Pages164
    ID Numbers
    Open LibraryOL20642816M
    ISBN 100792385896
    LC Control Number99033654

    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 . Elliptic curves have played an increasingly important role in number theory and related fields over the last several decades, most notably in areas such as cryptography, factorization, and the proof of Fermat's Last Theorem. However, most books on the subject assume a rather high level of Price: $

    In the past few years elliptic curve cryptography has moved from a fringe activity to a major challenger to the dominant RSA/DSA systems. Elliptic curves offer major advances on older systems such as increased speed, less memory and smaller key by: This book offers the beginning undergraduate student some of the vista of modern mathematics by developing and presenting the tools needed to gain an understanding of the arithmetic of elliptic curves over finite fields and their applications to modern cryptography.

      Elliptic Curves and Their Applications: An Introduction has been used successfully for teaching advanced undergraduate courses. It will be of greatest interest to mathematicians, computer scientists, and engineers who are curious about elliptic curve cryptography in practice, without losing the beauty of the underlying : Andreas Enge.   Elliptic curves are a very important new area of mathematics which has been greatly explored over the past few decades. They have shown tremendous potential as a tool for solving complicated number problems and also for use in cryptography. In Andrew Wiles, together with his former student Richard Taylor, solved one of the most famous maths problems of the last years.


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Elliptic curves and their applications to cryptography by Andreas Enge Download PDF EPUB FB2

Elliptic Curves and Their Applications: An Introduction has been used successfully for teaching advanced undergraduate courses.

It will be of greatest interest to mathematicians, computer scientists, and engineers who are curious about elliptic curve cryptography in practice, without losing the beauty of the underlying by: Elliptic Curves and Their Applications to Cryptography: An Introduction - Kindle edition by Enge, Andreas.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Elliptic Curves and Their Applications to 4/5(1). uate course on elliptic curve cryptography. I was so pleased with the outcome that I encouraged Andreas to publish the manuscript.

I firmly believe that this book is a very good starting point for anyone who wants to pursue the theory of elliptic curves over finite fields and their applications to cryptography.

Vanstone, April 5Cited by: Reviewer: Adrian Constantin Atanasiu Cryptography with elliptic curves was proposed in by Neal Koblitz and Victor Miller. The security of this scheme is based on the difficulty of the discrete logarithm problem, but differs from El Gamal cryptosystem algorithms because here the points of an elliptic curve over a finite field (and not directly on finite fields) are used.

Note: If you're looking for a free download links of Elliptic Curves: Number Theory and Cryptography (Discrete Mathematics and Its Applications) Pdf, epub, docx and torrent then this site is not for you. only do ebook promotions online and we does not.

This book offers the beginning undergraduate student some of the vista of modern mathematics by developing and presenting the tools needed to gain an understanding of the arithmetic of elliptic curves over finite fields and their applications to modern cryptography.

There are two more references which provide elementary introductions to elliptic curves which I think should be mentioned: * An Elementary Introduction to Elliptic Curves, part I and II, by L.

Charlap, D. Robbins and R. Coley ( and ); and * Elliptic Curves and Their Applications to Cryptography — An Introduction by A. Enge (). The documents by Charlap et al have the. - Buy Elliptic Curves: Number Theory and Cryptography (Discrete Mathematics and Its Applications) book online at best prices in India on Read Elliptic Curves: Number Theory and Cryptography (Discrete Mathematics and Its Applications) book reviews & author details and more at Free delivery on qualified orders.5/5(1).

Buy Elliptic Curves: Number Theory and Cryptography (Discrete Mathematics and Its Applications) 1 by Washington, Lawrence C. (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders.5/5(1).

Get this from a library. Elliptic curves and their applications to cryptography: an introduction. [Andreas Enge] -- "Elliptic Curves and their Applications to Cryptography: An Introduction provides a comprehensive and self-contained introduction to elliptic curves and how they are employed to.

Book Description. 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.

We discuss the use of elliptic curves in cryptography. In particular, we propose an analogue of the Diffie-Hellmann key exchange protocol which appears to be immune from attacks of the style of Western, Miller, and Adleman. With the current bounds for infeasible attack, it appears to be about 20% faster than the Diffie-Hellmann scheme over GF(p).Cited by: The subject of elliptic curves is both well-known and rather mysterious.

Most people who have a sense of recent developments in mathematics know that elliptic curves had something to do with Andrew Wiles' proof of Fermat's Last Theorem and that elliptic curves are somehow used to power sophisticated cryptographic here the typical understanding of elliptic curves stops, and.

Applications of elliptic curves to factoring and cryptography are explored in more detail in the next chapter, and following that there is an Appendix that discusses, in a largely expository way and with very few proofs, some more advanced topics in the.

† Elliptic curves with points in Fp are flnite groups. † Elliptic Curve Discrete Logarithm Prob-lem (ECDLP) is the discrete logarithm problem for the group of points on an elliptic curve over a flnite fleld. † The best known algorithm to solve the ECDLP is exponential, which is why elliptic curve groups are used for Size: KB.

To understand ECC, ask the company that owns the patents. Certicom. (Elliptic Curve Cryptography) > Elliptic Curve Cryptography (ECC) was discovered in by Victor Miller (IBM) and Neil Koblitz (University of Washington) as an alternative mecha.

E(Q), the set of rational points on an elliptic curve, as well as the Birch and Swinnerton-Dyer conjecture. The appendix ends with a brief discussion of elliptic curves over C, elliptic functions, and the characterizationofE(C)asacomplextorus.

Appendix B has solutions to the File Size: KB. 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.5/5(4). 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/5(16). Elliptic Curves and Their Applications: An Introduction has been used successfully for teaching advanced undergraduate courses.

It will be of greatest interest to mathematicians, computer scientists, and engineers who are curious about elliptic curve cryptography in practice, without losing the beauty of the underlying mathematics. $\bullet$ Elliptic Curves: Number Theory and Cryptography by Lawrence C.

Washington. This is a very nice book about the mathematics of elliptic curves. It contains proofs of many of the main theorems needed to understand elliptic curves, but at a slightly more elementary level than, say, Silverman’s book.Elliptic Curves: Number Theory and Cryptography, Second Edition Discrete Mathematics and Its Applications: : Washington, Lawrence C.: Libros en idiomas extranjeros5/5(4).

Elliptic curves have played an increasingly important role in number theory and related fields over the last several decades, most notably in areas such as cryptography, factorization, and the proof of Fermat's Last Theorem.

However, most books on the subject assume a rather high level of mathematical sophistication, and few are truly accessible to5/5(1).