This book covers discrete mathematics both as it has been established after its emergence since the middle of the last century and as its elementary applications to cryptography. It can be used by anyone interested in discrete mathematics, finite mathematics, and similar subjects, and includes approximately 600 problems (with and without solutions). Any necessary prerequisites are explained, giving an introduction into number theory, coding theory, information theory, that obviously have discrete nature. Cryptography topics covered are CRT, affine ciphers, hashing functions, substitution ciphers, unbreakable ciphers, Discrete Logarithm Problem (DLP), and more
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