The secrets behind cryptography : a mathematical overview

Daily advancements in technology influence many aspects of society. In today’s political and economic era, the need for secure, computerized convenience is apparent. Cryptosystems play a major role for everyone, from an individual making an online purchase to the government communicating with an ally during wartime. As technology advances, so do cryptosystems. The author of this paper discusses different types of cryptosystems, from substitution ciphers to public key cryptography, and introduces the mathematical foundations of such systems.