Titlebook: Number Theory in Science and Communication; With Applications in Manfred R. Schroeder Book 19841st edition Springer-Verlag Berlin Heidelber

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Linear Congruences, flying the same route, is only 2 to 3 hours late. If you were in a hurry, which airline would you fly — food, lack of leg room and all else being equal? Obviously, being 25 hours late is as good (or bad) as being only 1 hour late. In other words, in a . event an extra day, or even several, makes n

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Diophantine Equations Early historical occurrences often appeared in the guise of ., and perhaps for that reason, Diophantine equations have been largely neglected in our mathematical schooling. Ironically, though, Diophantine equations play an ever-increasing role in modern applications, not to mention the fact that so

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Euler Trap Doors and Public-Key Encryptione the secret encrypting key becomes known, transmissions are no longer secret. In public-key encryption, every potential recipient of secret messages . his encrypting key (hence the name . key). But knowledge of the encrypting key is of no practical help in decryption. The public-key is the key to a

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Fast Transformations and Kronecker Products we will now take time out for a glance at another basic principle of fast computation: decomposition into . or . products. We illustrate this by showing how to factor Hadamard and Fourier matrices — leading to a Fast Hadamard Transform (FHT) and the well-known Fast Fourier Transform (FFT).