Abstract
Here we shall see how the Chinese Remainder Theorem allows us to solve quadratic congruences for composite moduli. Quadratic congruences play a role in such digital communication tasks as certified receipts, remote signing of contracts, and coin tossing — or playing poker over the telephone (discussed in Chap. 19). Finally, quadratic congruences are needed in the definition of pseudoprimes, which were once almost as important as actual primes in digital encryption (see Chap. 19).
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References
W. Kaufmann-Bühler: Gauss. A Biographical Study (Springer, Berlin, Heidelberg, New York 1981)
G. H. Hardy, E. M. Wright: An Introduction to the Theory of Numbers, 5th ed., Sect. 8.1 (Clarendon, Oxford 1984)
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© 1997 Springer-Verlag Berlin Heidelberg
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Schroeder, M.R. (1997). Quadratic Congruences. In: Number Theory in Science and Communication. Springer Series in Information Sciences, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03430-9_18
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DOI: https://doi.org/10.1007/978-3-662-03430-9_18
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