Simon Fraser University
Engaging the World

Course Outlines

Fall 2019 - MATH 846 G100

Cryptography (4)

Class Number: 4122

Delivery Method: In Person

Overview

  • Course Times + Location:

    Sep 3 – Dec 2, 2019: Mon, 10:30 a.m.–12:20 p.m.
    Burnaby

    Sep 3 – Dec 2, 2019: Wed, 10:30–11:20 a.m.
    Burnaby

  • Exam Times + Location:

    Dec 13, 2019
    Fri, 11:31–11:59 a.m.
    Burnaby

Description

CALENDAR DESCRIPTION:

An introduction to the subject of modern cryptography. Classical methods for cryptography and how to break them, the data encryption standard (DES), the advanced encryption standard (AES), differential and linear cryptanalysis. RSA and EIGamal public key cryptosystems, digital signatures, secure hash functions and pseudo-random number generation. Algorithms for computing with long integers including the use of probabilistic algorithms. Elliptic curve cryptography. Post-quantum cryptography. Students with credit for either MACM 442 or MATH 742 may not take this course for further credit.

COURSE DETAILS:

· Classical Cryptography
· The Data Encryption Standard and Advanced Encryption Standard
· Differential Cryptanalysis, Linear Cryptanalysis
· Basic Integer Algorithms and their Time Complexity
· The RSA Public Key Cryptosystem and Attacks on RSA
· Algorithms for Integer Primality Testing and Integer Factorization
· Finite Fields and the ElGamal Cryptosystem
· Algorithms for the Discrete Logarithm Problem
· Elliptic Curve Cryptography
· Key Distribution and Key Agreement Protocols
· Digital Signature Schemes and Secure Hash Functions
· Pseudo-Random Number Generation
· The Quadratic Residue Problem and the Jacobi Symbol
· Post-quantum Cryptography, McEliece Cryptosystem

Grading

  • Assignments (9 assignments, weighted equally) 60%
  • Exams 40%

NOTES:

*Students enrolled in MATH 846 MUST attend the "tutorial" on Wednesdays from 11:30 am - 12:20 pm in WMC 2830. This is an instructional hour for this 4-credit section of the combined class and is NOT optional.*

This course is cross-listed with MACM 442 and MATH 742. Students enrolled in the graduate sections of this course (MATH 742 and MATH 846) will be assigned extra homework questions.

Classes for MATH 846 will start in Week 1 of the semester.

Materials

REQUIRED READING:

Textbook: Cryptography: Theory and Practice
Edition: 4th
Author: Douglas Stinson
ISBN: 9781138197015

Graduate Studies Notes:

Important dates and deadlines for graduate students are found here: http://www.sfu.ca/dean-gradstudies/current/important_dates/guidelines.html. The deadline to drop a course with a 100% refund is the end of week 2. The deadline to drop with no notation on your transcript is the end of week 3.

Registrar Notes:

SFU’s Academic Integrity web site http://www.sfu.ca/students/academicintegrity.html is filled with information on what is meant by academic dishonesty, where you can find resources to help with your studies and the consequences of cheating.  Check out the site for more information and videos that help explain the issues in plain English.

Each student is responsible for his or her conduct as it affects the University community.  Academic dishonesty, in whatever form, is ultimately destructive of the values of the University. Furthermore, it is unfair and discouraging to the majority of students who pursue their studies honestly. Scholarly integrity is required of all members of the University. http://www.sfu.ca/policies/gazette/student/s10-01.html

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS