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Prerequisite: Admission to the MAT Mathematics or consent of instructor or consent of department chairperson Cryptology is the study of the composition, design, use and analysis of methods and systems to encrypt and decrypt messages. Classical cryptosystems from shift ciphers to the enigma machine will be reviewed first. Then private-key encryption schemes such as AES (the Advanced Encryption Standard) and public-key encryption schemes such as RSA will be studied. Methods of cryptanalysis will be investigated. Other techniques and methods of cryptology such as digital signatures, secret sharing, zero-knowledge proofs, steganography, discrete logarithms, elliptic curves and quantum computing may be explored.