Older methods used a monoalphabetic substitution which required both the encryption and decryption keys to be kept secret because one was trivially derived from the other. ... Where m is the plaintext message, P(m) is the message encrypted with the public key, P, and S(P) is P encrypted with the secret key, S. That is, the secret key, S, decrypts a message encrypted with the public key, P. S cannot be deduced from P . ... You encrypt your signature message with your secret key to obtain S(m). ...

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... List of courses | LIST and CONTENTS of COURSES . ... Introduction . ... Application: . ... Alumni: . List of Alumni . ... Alumni reports . ... At least one semester of Advanced Calculus and one semester of Linear Algebra are necessary prerequisites to all our courses, including Elementary ones. For additional prerequisites to Intermediate and Advances courses please consult the course description. ... Non-Euclidean geometry . ... Ergodic Theory of Dynamical Systems . ... Advanced courses . ...

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