IAM517 - Basic Mathematics for Cryptography I
Instructor(s): Abdürrahim Yılmaz
Prerequisites: Consent of Instructor(s)
Course Catalogue DescriptionBasic properties of Integers, Divisibility, Primes, The fundamental theorem of arithmetic, Fermat numbers, Factorization methods, Diophantine equations, Congruences, Theorems of Fermat, Euler, Chinese Remainder and Wilson. Arithmetical functions, Primitive roots, Quadratic congruences.
Course ObjectivesThe main objective of this course is to prepare students for later studies in Cryptography Graduate Program of IAM, and also to explain some problems that are easy to ask but still unsolved and to give some ideas about why abstractions are to be made, by giving fundamental properties of integers and some algebraic preliminaries.
Course Learning OutcomesThis is one of the core courses of the Cryptography Program at IAM, which gives Familiarity of students basic arithmetical tools to solve cryptographical problems.
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