Secrecy, integrity, authentication, history of the cryptography, the fundamental concepts of information theory, secrecy systems, monoalphabetical substitution, polyalphabetical substitution, transposition, block ciphers, Data Encryption Standard (DES), Advanced Encryption Standard (AES), key management, combining block ciphers, Symmetrical cryptosystem security architectures, Symmetrical cryptosystem design & verification. Factorization based (RSA), ECC based asymmetrical cryptosystems, Random number generators, prime number generators and primality testers, hashing algorithms (MD5-SHA0-SHA1-SHA2), PKI and related models, standards: IEEE P1363, Fips 186.2, – 140.2, x9.62, x9.63, PKCS#6, x509v3.