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Elliptic curves : number theory and cryptography / Lawrence C. Washington.
- Format:
- Book
- Author/Creator:
- Washington, Lawrence C.
- Series:
- Discrete mathematics and its applications.
- Discrete mathematics and its applications
- Language:
- English
- Subjects (All):
- Curves, Elliptic.
- Number theory.
- Cryptography.
- Physical Description:
- 1 online resource (532 p.)
- Edition:
- 2nd ed.
- Place of Publication:
- Boca Raton, FL : Chapman & Hall/CRC, c2008.
- Language Note:
- English
- Summary:
- 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 comple
- Contents:
- Cover; Title; Copyright; Preface; Preface to the Second Edition; Suggestions to the Reader; Contents; Chapter 1: Introduction; Chapter 2: The Basic Theory; Chapter 3: Torsion Points; Chapter 4: Elliptic Curves over Finite Fields; Chapter 5: The Discrete Logarithm Problem; Chapter 6: Elliptic Curve Cryptography; Chapter 7: Other Applications; Chapter 8: Elliptic Curves over Q; Chapter 9: Elliptic Curves over C; Chapter 10: Complex Multiplication; Chapter 11: Divisors; Chapter 12: Isogenies; Chapter 13: Hyperelliptic Curves; Chapter 14: Zeta Functions; Chapter 15: Fermat's Last Theorem
- Appendix A: Number TheoryAppendix B: Groups; Appendix C: Fields; Appendix D: Computer Packages; References; Index
- Notes:
- Description based upon print version of record.
- Includes bibliographical references (p. 499-508) and index.
- ISBN:
- 9786611401139
- 9781040066195
- 1040066194
- 9780429140808
- 0429140800
- 9781281401137
- 1281401137
- 9781420071474
- 1420071475
- OCLC:
- 243776955
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