Course Title: Algebra for Information Security

Part A: Course Overview

Course Title: Algebra for Information Security

Credit Points: 12.00


Course Code

Campus

Career

School

Learning Mode

Teaching Period(s)

MATH2148

City Campus

Undergraduate

145H Mathematical & Geospatial Sciences

Face-to-Face

Sem 1 2006,
Sem 1 2007,
Sem 1 2008,
Sem 1 2009,
Sem 1 2010,
Sem 1 2011,
Sem 1 2012,
Sem 1 2013,
Sem 1 2014,
Sem 1 2015,
Sem 1 2016

MATH2148

City Campus

Undergraduate

171H School of Science

Face-to-Face

Sem 1 2017

MATH2172

City Campus

Postgraduate

145H Mathematical & Geospatial Sciences

Face-to-Face

Sem 1 2007,
Sem 1 2008,
Sem 1 2009,
Sem 1 2010,
Sem 1 2011,
Sem 1 2012,
Sem 1 2013,
Sem 1 2014,
Sem 1 2015,
Sem 1 2016

MATH2172

City Campus

Postgraduate

171H School of Science

Face-to-Face

Sem 1 2017

Course Coordinator: Dr Graham Clarke

Course Coordinator Phone: +61 3 9925 3225

Course Coordinator Email: g.clarke@rmit.edu.au

Course Coordinator Location: 8.9.62


Pre-requisite Courses and Assumed Knowledge and Capabilities

An introductory course in Discrete Mathematics such as MATH1150 or an equivalent.


Course Description

 

This is an option course that builds on the formalproof techniques and technicalcontent of a foundation course in Discrete Mathematics. The knowledge of finite fields and the introduction to error correcting codes and public key cryptosystems will be used in core MC159Master of Applied Science (Information Security and Assurance)courses INTE1124, INTE1125 and INTE1127.

Two components are introduced: Groups and Codes and Ring and Field Theory for Information Security. Groups and Codesintroduces you to the fundamental ideas and applications of group and ring theory, extending your knowledge of basic proof techniques in mathematics and demonstrating the practical application of algebraic theory to error-correction coding for digital communications. In Ring and Field Theory for Information Security, concepts of group theory are particularised to rings and finite fields, where further theory is developed. Applications to private and public key cryptography are covered.


Objectives/Learning Outcomes/Capability Development

 

This course contributes to the following Program Learning Outcomes for MC159 Master of Applied Science (Information Security and Assurance)

Knowledge and Technical Competence

  • The ability to use the appropriate and relevant, fundamental and applied mathematical and statistical knowledge, methodologies and modern computational tools.

Problem-solving

  • The ability to bring together and flexibly apply knowledge to characterise, analyse and solve a wide range of problems
  • An understanding of the balance between the complexity / accuracy of the mathematical / statistical models used and the timeliness of the delivery of the solution.


On completion of this course you should be able to

  1. Construct logically valid proofs for mathematical propositions.
  2. Recognise algebraic systems as having a group, ring or field structure.
  3. Use group and ring properties to construct error correcting codes including cyclic codes.
  4. Apply finite field properties to construct public key cryptosystems.


Overview of Learning Activities

 

You will attend lectures where basic underlying concepts will be presented. Individual and group activities, in the form of practice classes, in-semester tests and assignments and a final examination, will complement this aspect of the work. The practice classes and assignments will reinforce the material covered in lectures and in your personal study. Your capacity to solve problems and to think critically and analytically will also be addressed through problems presented in lectures. Your ability to formalise and solve problems as part of a team will be fostered by working in groups in the practice classes.

In addition to the in-class activities, students will have the opportunity to develop greater understanding of the concepts in this course through their reading, discussion with other students and with the lecturer, and private study.

Assignments, tests and practice classes will enable you to gauge your progress and provide you with feedback on your understanding of the course material. 


Overview of Learning Resources

 

You will have access to class lecture notes. There is no prescribed text. You will be expected to expand on the subject matter provided as lecture notes in class. This will take the form of accessing various external and internal resources, such as the library and the Internet. The general topic area for search is ‘abstract algebra’.

 

Blackboard: This course is supported online using Blackboard, which gives access to important announcements, a discussion forum, staff contact details, the teaching schedule, assessment timelines, lecture notes and practice questions and answers. You are advised to read your student EMS email daily for important announcements. You should also visit the course Blackboard site at least once a day for important announcements regarding the course and course-related documents.

http://rmit.libguides.com/mathstats


Overview of Assessment

 

Assessment Tasks:

 

Assessment Task 1:  3 Practice classes

Weighting 12%

This assessment task supports CLOs 1-4

Assessment Task 2:  2 Individual assignments

Weighting 13%

This assessment task supports CLOs 1-4

 

Assessment Task 3:Mid-semester test

Weighting 25%

This assessment task supports CLO 1-3

Assessment 4: Final examination

Weighting 50% 

This assessment supports CLOs 1-4