Number Theory and Cryptography

ISBN: 9780521398770 出版年：1990 页码：250 J H Loxton Cambridge University Press

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.