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Number Theory and Cryptography

Number Theory and Cryptography

$40.00

Part of London Mathematical Society Lecture Note Series

R. Lidl, J. Buchmann, H. C. Williams, R. P. Brent, A. J. Stephens, H. W. Lenstra, Jr., A. J. Van der Poorten, J. Snare, E. Dawson, H. Gustaphson, W. Caelli, R. S. Safavi-Naini, J. R. Seberry, M. Warner, B. Newman, R. T. Worley, L. Peters, M. Rudolph, R. A. Mollin, T. Kamae, Y. -N. Nakai, I. Shiokawa, G. Myerson, A. Pollington, B. Brizinda, F. G. Garvan, A. Silverberg
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  • Date Published: April 1990
  • availability: Available
  • format: Paperback
  • isbn: 9780521398770

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  • In this volume, originally published in 1990, are included papers presented at two meetings; one a workshop on Number Theory and Cryptography, and the other, the annual meeting of the Australian Mathematical Society. Questions in number theory are of military and commercial importance for the security of communication, as they are related to codes and code-breaking. Papers in the volume range from problems in pure mathematics whose study has been intensified by this connection, through interesting theoretical and combinatorial problems which arise in the implementation, to practical questions that come from banking and telecommunications. The contributors are prominent within their field. The whole volume will be an attractive purchase for all number theorists, 'pure' or 'applied'.

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    Product details

    • Date Published: April 1990
    • format: Paperback
    • isbn: 9780521398770
    • length: 248 pages
    • dimensions: 229 x 152 x 14 mm
    • weight: 0.37kg
    • availability: Available
  • Table of Contents

    List of contributors
    Introduction
    Part I. Number Theoretic Aspects of Cryptology:
    1. Some mathematical aspects of recent advances in cryptology R. Lidl
    2. Quadratic fields and cryptography J. Buchmann and H. C. Williams
    3. Parallel algorithms for integer factorisation R. P. Brent
    4. An open architecture number sieve A. J. Stephens and H. C. Williams
    5. Algorithms for finite fields H. W. Lenstra, Jr.
    6. Notes on continued fractions and recurrence sequences A. J. Van der Poorten
    Part II. Cryptographic Devices and Applications:
    7. Security in telecommunication services over the next decade J. Snare
    8. Linear feedback shift registers and stream ciphers E. Dawson
    9. Applying randomness tests to commercial level block ciphers H. Gustaphson, E. Dawson and W. Caelli
    10. Pseudo-random sequence generators using structures noise R. S. Safavi-Naini and J. R. Seberry
    11. Privacy for MANCET M. Warner
    12. Authentication B. Newman
    13. Insecurity of the knapsack one-time pad R. T. Worley
    14. The tactical frequency management problem: heuristic search and simulated annealing L. Peters
    15. Reed–Solomon coding in the complex field M. Rudolph
    Part III. Diophantine Analysis:
    16. Class number problems for real quadratic fields R. A. Mollin and H. C. Williams
    17. Number theoretic problems involving two independent bases T. Kamae
    18. A class of normal numbers II. Y. -N. Nakai and I. Shiokawa
    19. Notes on uniform distribution G. Myerson and A. Pollington
    20. Thue equations and multiplicative independence B. Brizinda
    21. A number theoretic crank associated with open bosonic strings F. G. Garvan
    22. Universal families of abelian varieties A. Silverberg.

  • Author

    J. H. Loxton

    Contributors

    R. Lidl, J. Buchmann, H. C. Williams, R. P. Brent, A. J. Stephens, H. W. Lenstra, Jr., A. J. Van der Poorten, J. Snare, E. Dawson, H. Gustaphson, W. Caelli, R. S. Safavi-Naini, J. R. Seberry, M. Warner, B. Newman, R. T. Worley, L. Peters, M. Rudolph, R. A. Mollin, T. Kamae, Y. -N. Nakai, I. Shiokawa, G. Myerson, A. Pollington, B. Brizinda, F. G. Garvan, A. Silverberg

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