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Some Basic Number Theory - the groups Z n and Z* n and the Euler Totient Function. Lecture 2 (Jan 4): The Caesar and Affine Ciphers.My powerpoint slides for today's lecture If you are interested in the historical evolution of cryptography, the book "The CodeBreakers - The Story of Secret Writing" by David Kahn is a good read. Lecture 1 (Jan 2): Overview of the CourseĮxercise for today: Watch Professor Ronald Rivest's lecture on "The Growth of Cryptography".If you cannot make it on Friday, please slip the solutions under the office door. Posted Mar 23, Due Apr 02 (Monday) at 1pm in the instructor's office (CCT 3073). Posted Feb 20, Due Mar 12 (Monday) at 1pm in class. Posted Feb 07, Due Feb 17 (Friday) at 10am in class ( NOTE the Friday deadline). Posted Jan 20, Due Jan 30 (Monday) at 1pm in class. Posted Jan 6, Due Jan 16 (Monday) at 1pm in class. MAT223H5 Linear Algebra I, MAT224H5 Linear Algebra II, MAT301H5 Groups and Symmetries. Topics include: Block ciphers and the Advanced Encryption Standard (AES) Algebraic and Number-theoretic techniques and algorithms in Cryptography, including methods for primality testing and factoring large numbers Encryption and Digital Signature systems based on RSA, Factoring, Elliptic Curves and Integer Lattices and Zero-Knowledge Proofs.
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The course will take students on a journey through the methods of algebra and number theory in cryptography, from Euclid to Zero Knowledge Proofs.
#UNDERSTANDING CRYPTOGRAPHY EVEN SOLUTIONS CODE#
Students should become familiar with and are expected to adhere to the Code of Behaviour on Academic Matters, which can be found in the UTM Calendar or at: See here for the policy on special consideration in case of late assignment submissions. Problem Sets are due in the beginning of the class.Īll this information (and more) can be found in the course information sheet. Reference: Thomas Cormen, Charles Leiserson and Ronald Rivest, Introduction to Algorithms, The MIT Press.įive problem sets (for a total of 35%), class participation (5%), a midterm (20%) and a final (40%). Reference: Victor Shoup, A Computational Introduction to Number Theory and Algebra, Available online at Available online via the UofT Libraries! Recommended: Christof Paar and Jan Pelzl, Understanding Cryptography: A Textbook for Students and Practitioners, Springer, 2nd Ed.In cases where the material taught is not readily available online, I will try to provide course notes or other online references. We have a recommended textbook that we will more or less follow through the course. (Jan 2) Welcome to MAT 302! Make sure to check this website often.(Jan 6) Problem Set 1 has been posted and is due Jan 16 in class.(Jan 20) Problem Set 2 has been posted and is due Jan 30 in class.(Feb 07) Problem Set 3 has been posted and is due Feb 17 in class.Look at the first chapter of the book of Papadimitriou, Dasgupta and Vazirani įor a great exposition of the number theoretic algorithms we did so far. (Feb 20) Problem Set 4 has been posted and is due Mar 12 in class.I expectĮveryone to look over this and come prepared for the review session on Monday. (Feb 20) Midterm Practice Exam has been posted.Go over the previous (and future!) problem sets (Feb 20) Solutions to Problem sets 1 and 2 have been posted - see below in the section on "Problem Sets".It is due Monday, April 2 at 1pm in my office CCT 3073. (Mar 24) The final problem set (PS5) has been posted.Instructor's office (slip it under the door). Please remember to submit the solutions to PS5ĭuring the review session or (if you cannot make it) at the I willĭiscuss this in the review session which will take place from 1-2pm on Monday, April 2 tentatively at IB 370. (Apr 2) Finals Practice Exam has been posted.(Apr 2) A checklist of topics for the final exam is here.
#UNDERSTANDING CRYPTOGRAPHY EVEN SOLUTIONS PS4#
(Apr 16) The solutions to PS4 and PS5 are now posted.