Number Theory with Applications to Cryptography
eBook - PDF

Number Theory with Applications to Cryptography

  1. 307 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Number Theory with Applications to Cryptography

About this book

Number Theory with Applications to Cryptography takes into account the application of number theory in the field of cryptography. It comprises elementary methods of Diophantine equations, the basic theorem of arithmetic and the Riemann Zeta function. This book also discusses about Congruences and their use in mock theta functions, Method of Iterative Sliding Window for Shorter Number of Operations in case of Modular Exponentiation and Scalar Multiplication, Discrete log problem, elliptic curves, matrices and public-key cryptography and Implementation of Pollard Rho over binary fields using Brent Cycle Detection Algorithm. It also provides the reader with the significant insights of number theory to the practice of cryptography in order to understand discrete log problem, matrices, elliptic curves and public-key cryptography and the applications of Fibonacci sequence on continued fractions.

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Yes, you can access Number Theory with Applications to Cryptography by Stefano Spezia in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Title Page
  3. Copyright
  4. DECLARATION
  5. ABOUT THE EDITOR
  6. TABLE OF CONTENTS
  7. List of Contributors
  8. List of Abbreviations
  9. Preface
  10. SECTION I: DIOPHANTINE EQUATIONS
  11. SECTION II: THE RIEMANN ZETA FUNCTION AND THE FUNDAMENTAL THEOREM OF ARITHMETIC
  12. SECTION III: CONGRUENCES
  13. SECTION IV: DISCRETE LOG PROBLEM, ELLIPTIC CURVES, MATRICES AND PUBLIC-KEY CRYPTOGRAPHY
  14. SECTION V: CONTINUED FRACTIONS
  15. Index
  16. Back Cover