This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Chapter 19
P. Ribenboim: The New Book of Prime Number Records (Springer, New York 1996)
C. Pomerance: Recent developments in primality testing. Math. Intelligencer 3, 97–105 (1981)
A. J. van der Poorten, A. Rotkiewicz: On strong pseudoprimes in arithmetic progressions. J. Austral. Math. Soc. 29, 316–321 (1980)
A. Rotkiewicz: On Euler-Lehmer pseudoprimes and strong pseudoprimes with parameters L, Q in arithmetic progressions. Math. Comp. 39, 239–247 (1982)
S. Goldwasser, S. Micali: “Probabilistic Encryption and How To Play Mental Poker,” in Proceedings of the 4th ACM Symposium on the Theory of Computing (Assoc. Comp. Machinery, New York 1982) pp. 365–377
S. Micali (personal communication)
A. Shamir, R. L. Rivest, L. M. Adleman: “Mental Poker,” in The Mathematical Gardener, ed. by D. Klarner (Prindle Weber Schmidt, Boston 1981) pp. 37–43
S. S. Wagstaff: Large Carmichael numbers. Math. J. Okayama Univ. 22, 33–41 (1980)
M. O. Rabin: Probabilistic algorithm for testing primality. J. Number Theory 12, 128–138 (1980)
C. F. Gauss: Disquisitiones Arithmeticae [English transl. by A. A. Clarke, Yale University Press, New Haven 1966]
J. D. Dixon: Asymptotically fast factorization of integers. Math. Comp. 36, 255–260 (1981)
E. Lucas: Théorie des Nombres (Blanchard, Paris 1961)
J. Brillhart, D. H. Lehmer, J. L. Selfridge: New primality criteria and factorizations of 2m ± 1. Math Comp. 29, 620–647 (1975)
L. M. Adleman, C. Pomerance, R. S. Rumely: On distinguishing prime numbers from composite numbers. Ann. Math. (2) 117, 173–206 (1983). See also: M. J. Coster, B. A. LaMacchia, C.P. Schnorr, J. Stern: Improved low-density subset sum algorithms. J. Computational Complexity 2, 111–128 (1992)
I. L. Chuang, R. Laflamme, P. W. Shor, W. H. Zurek: Science 270, 1633 (1995)
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
(2006). Pseudoprimes, Poker and Remote Coin Tossing. In: Number Theory in Science and Communication. Springer Series in Information Sciences, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26598-8_19
Download citation
DOI: https://doi.org/10.1007/3-540-26598-8_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-26596-2
Online ISBN: 978-3-540-26598-6
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)