Multidisciplinary in Cryptology

To reach the high depths of knowledge and expertise that are required nowadays, scientists focus their attention on minute areas of study. However, the most complex problems faced by scientists still need the application of different disciplines to tackle them, which creates a necessity for multi-disciplinary collaboration. Cryptology is naturally a multidisciplinary field, drawing techniques from a wide range of disciplines and connections to many different subject areas. In recent years, the connection between algebra and cryptography has tightened, and established computational problems and techniques have been supplemented by interesting new approaches and ideas. Cryptographic engineering is a complicated, multidisciplinary field. It encompasses mathematics (algebra, finite groups, rings, and fields), probability and statistics, computer engineering (hardware design, ASIC, embedded systems, FPGAs), and computer science (algorithms, complexity theory, software design), control engineering, digital signal processing, physics, chemistry, and others. This chapter provides an introduction to the disciplinary, multidisciplinary, and their general structure (interdisciplinary, trans-disciplinary, and cross-disciplinary). And it also gives an introduction to the applications of the multidisciplinary approaches to some of the cryptology fields. In addition, the chapter provides some facts about the importance of the suitability and of the multidisciplinary approaches in different scientific, academic, and technical applications.