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Course profile

Applied Cryptography (MATH7305)

Study period
Sem 1 2025
Location
St Lucia
Attendance mode
In Person

Course overview

Study period
Semester 1, 2025 (24/02/2025 - 21/06/2025)
Study level
Postgraduate Coursework
Location
St Lucia
Attendance mode
In Person
Units
2
Administrative campus
St Lucia
Coordinating unit
Mathematics & Physics School

This course will cover a range of topics in modern cryptography, with a focus on mathematical foundations, practical applications, and best practices for implementation. This will form a basis for higher-level research, as well as a solid foundation for future practitioners in the field. Topics we will cover include: elliptic curve cryptography, cryptographic hash functions, secure random number generation, modern cryptanalysis, cryptocurrency, and digital privacy.

This course will consist of a series of smaller modules, each roughly 2-3 weeks in length, and each covering a different topic from applied cryptography and/or modern cryptanalysis. These smaller modules will be largely independent. Together theyᅠillustrate how cryptographic tools are designed and adapted for modern application, and the types of real-world attacks that these tools must be designed to withstand.

In the School of Mathematics and Physics we are committed to creating an inclusive and empowering learning environment for all students. We value and respect the diverse range of experiences our students bring to their education, and we believe that this diversity is crucial for fostering a rich culture of knowledge sharing and meaningful exploration. We hold both students and staff accountable for actively contributing to the establishment of a respectful and supportive learning environment.

Bullying, harassment, and discrimination in any form are strictly against our principles and againstᅠUQ Policy,ᅠand will not be tolerated. We have developed aᅠsuite of resourcesᅠto assist you in recognising, reporting, and addressing such behaviour. If you have any concerns about your experience in this course, we encourage you to tell a member of the course teaching team, or alternatively contact an SMP Classroom Inclusivity Champion (see Blackboard for contact details). Our Inclusivity Champions are here to listen, to understand your concerns, and to explore potential actions that can be taken to resolve them. Your well-being and a positive learning atmosphere are of utmost importance to us.

Course requirements

Assumed background

It is assumed that students have studied, or are currently studying, the coding and cryptography course MATH3302. It is also assumed that students are familiar withᅠthe discrete mathematics fromᅠMATH1061, and the number theory and algebra fromᅠMATH2301.

Prerequisites

You'll need to complete the following courses before enrolling in this one:

MATH2301

Companion or co-requisite courses

You'll need to complete the following courses at the same time:

MATH3302

Course contact

Course staff

Lecturer

Timetable

The timetable for this course is available on the UQ Public Timetable.

Additional timetable information

All classes will be conducted on campus. Consult your personal timetable for times and locations. Students are expected to attend these sessions in person unless they have a valid reason for being unable to attend (such as illness). Alternative arrangements will be advised on Blackboard should the campus be closed for any reason.ᅠ Important: if you are ill, then do not attend any classes in person. Alternative arrangements can be organised – consult Blackboard for details.


If any classes fall on a public holiday there are no lectures or practicals on these days. If your designated practical falls on a public holiday, you should attend the following week.

Aims and outcomes

The aims of this course are to introduce students to modern cryptography and cryptanalysis. In particular, this course looks intoᅠhow cryptographic tools and protocols can be designed to solve modern problems, and what practical concerns affect their design and implementation. The course also works throughᅠreal-world examples of cryptanalysis (i.e., attacks on these cryptographic tools), in order to highlight the kinds of attacks that modern cryptographic systems must be able to withstand.

Learning outcomes

After successfully completing this course you should be able to:

LO1.

Describe a variety of modern cryptographic systems.

LO2.

Explain how cryptographic primitives can be assembled, with appropriate protocols, for use in real-world applications.

LO3.

Explain how practical and implementation concerns affect the ways in which modern cryptographic systems are designed.

LO4.

Describe a variety of attacks that have been historically successful against modern cryptographic tools.

LO5.

Explain how cryptographic systems can be redesigned or hardened to prevent against different types of attacks.

Assessment

Assessment summary

Category Assessment task Weight Due date
Practical/ Demonstration Assignments 100%

21/03/2025 4:00 pm

11/04/2025 4:00 pm

9/05/2025 4:00 pm

23/05/2025 4:00 pm

Solutions should be submitted through Blackboard by the specified due date.

Assessment details

Assignments

Mode
Written
Category
Practical/ Demonstration
Weight
100%
Due date

21/03/2025 4:00 pm

11/04/2025 4:00 pm

9/05/2025 4:00 pm

23/05/2025 4:00 pm

Solutions should be submitted through Blackboard by the specified due date.

Task description

These assignments require you to solve a set of problems, and to submit your written solutions through Blackboard.

Submission guidelines

Solutions should be submitted through Blackboard.

Deferral or extension

You may be able to apply for an extension.

The maximum extension allowed is 7 days. Extensions are given in multiples of 24 hours.

As solutions will be released 7 days after each Assignment is due, no submission can be accepted more than 7 days after the due date.

See ADDITIONAL ASSESSMENT INFORMATION for extension/deferral information relating to this assessment item.

Late submission

A penalty of 10% of the maximum possible mark will be deducted per 24 hours from time submission is due for up to 7 days. After 7 days, you will receive a mark of 0.

Course grading

Full criteria for each grade is available in the Assessment Procedure.

Grade Description
1 (Low Fail)

Absence of evidence of achievement of course learning outcomes.

Course grade description: The student demonstrates very limited understanding of the theory of the topics listed in the course outline and of the basic concepts in the course material. This includes attempts at answering some questions but demonstrating very limited understanding of the key concepts. A student receiving a grade of 1 will have attained an overall mark between ᅠ0% and 19.99%.

2 (Fail)

Minimal evidence of achievement of course learning outcomes.

Course grade description: The student demonstrates limited understanding of the theory of the topics listed in the course outline and demonstrates limited knowledge of the techniques used to solve problems. This includes attempts at expressing their deductions and explanations and attempts to answer a few questions accurately. A student receiving a grade of 2 will have attained an overall mark of at least 20%.

3 (Marginal Fail)

Demonstrated evidence of developing achievement of course learning outcomes

Course grade description: The student demonstrates some understanding of the theory of the topics listed in the course outline and demonstrates some knowledge of the techniques used to solve problems, but fails to satisfy all the basic requirements for a pass. A student receiving a grade of 3 will have attained an overall mark of at least 45%.

4 (Pass)

Demonstrated evidence of functional achievement of course learning outcomes.

Course grade description: The student demonstrates an understanding of the theory of the topics listed in the course outline and demonstrates a knowledge of the techniques used to solve problems. A student receiving a grade of 4 will have attained an overall mark of at least 50%.

5 (Credit)

Demonstrated evidence of proficient achievement of course learning outcomes.

Course grade description: The student demonstrates a good understanding of the theory of the topics listed in the course outline and can apply the techniques to solve problems. A student receiving a grade of 5 will have attained an overall mark of at least 65%.

6 (Distinction)

Demonstrated evidence of advanced achievement of course learning outcomes.

Course grade description: The student demonstrates a comprehensive understanding of the theory of the topics listed in the course outline and is proficient in applying the techniques to solve both theoretical and practical problems. A student receiving a grade of 6 will have attained an overall mark of at least 75%.ᅠ

7 (High Distinction)

Demonstrated evidence of exceptional achievement of course learning outcomes.

Course grade description: The student demonstrates an excellent understanding of the theory of the topics listed in the course outline and is highly proficient in applying the techniques to solve both theoretical and practical problems.ᅠ A student receiving a grade of 7 will have attained an overall mark of at least 85%.

Supplementary assessment

Supplementary assessment is available for this course.

Should you fail a course with a grade of 3, you may be eligible for supplementary assessment. Refer to my.UQ for information on supplementary assessment and how to apply. 

Supplementary assessment provides an additional opportunity to demonstrate you have achieved all the required learning outcomes for a course.  

If you apply and are granted supplementary assessment, the type of supplementary assessment set will consider which learning outcome(s) have not been met.  

Supplementary assessment in this course will consist of a set of problems. To receive a passing grade of 3S4, you must obtain a mark of 50% or more on the supplementary assessment. 

Additional assessment information

Artificial Intelligence

Assessment tasks in this course evaluate students' abilities, skills and knowledge without the aid of generative Artificial Intelligence (AI) or Machine Translation (MT). Students are advised that the use of AI or MT technologies to develop responses is strictly prohibited and may constitute student misconduct under the Student Code of Conduct.

Applications for Extensions to Assessment Due Dates

Extension requests are submitted online via my.UQ – applying for an extension. Extension requests received in any other way will not be approved. Additional details associated with extension requests, including acceptable and unacceptable reasons, may be found at my.UQ.

Please note:

  • Requests for an extension to an assessment due date must be submitted through your my.UQ portal and you must provide documentation of your circumstances, as soon as it becomes evident that an extension is needed. Your application must be submitted on or before the assessment item's due date and time.
  • Applications for extension can take time to be processed so you should continue to work on your assessment item while awaiting a decision. We recommend that you submit any completed work by the due date, and this will be marked if your application is not approved. Should your application be approved, then you will be able to resubmit by the agreed revised due date.
  • If an extension is approved, you will be notified via your my.UQ portal and the new date and time for submission provided. It is important that you check the revised date as it may differ from the date that you requested.
  • If the basis of the application is a medical condition, applications should be accompanied by a medical certificate dated prior to the assignment due date. If you are unable to provide documentation to support your application by the due date and time you must still submit your application on time and attach a written statement (Word document) outlining why you cannot provide the documentation. You must then upload the documentation to the portal within 24 hours.
  • If an extension is being sought on the basis of exceptional circumstances, it must be accompanied by supporting documentation (eg. Statutory declaration).
  • For extensions based on a SAP you may be granted a maximum of 7 days (if no earlier maximum date applies). See the Extension or Deferral availability section of each assessment for details. Your SAP is all that is required as documentation to support your application. However, additional extension requests for the assessment item will require the submission of additional supporting documentation e.g., a medical certificate. All extension requests must be received by the assessment due date and time.
  • Students may be asked to submit evidence of work completed to date. Lack of adequate progress on your assessment item may result in an extension being denied.
  • If you have been ill or unable to attend class for more than 14 days, you are advised to carefully consider whether you are capable of successfully completing your courses this semester. You might be eligible to withdraw without academic penalty - seek advice from the Faculty that administers your program.
  • There are no provisions for exemption from an assessment item within UQ rules. If you are unable to submit an assessment piece then, under special circumstances, you may be granted an exemption, but may be required to submit alternative assessment to ensure all learning outcomes are met.

Applications to defer an exam

In certain circumstances you can apply to take a deferred examination for in-semester and end-of-semester exams. You'll need to demonstrate through supporting documentation how unavoidable circumstances prevented you from sitting your exam. If you can’t, you can apply for a one-off discretionary deferred exam.

Deferred Exam requests are submitted online via mySi-net. Requests received in any other way will not be approved. Additional details associated with deferred examinations, including acceptable and unacceptable reasons may be found at my.UQ.

Please note:

  • Applications can be submitted no later than 5 calendar days after the date of the original exam.
  • There are no provisions to defer a deferred exam. You need to be available to sit your deferred examination.
  • Your deferred examination request(s) must have a status of "submitted" in mySI-net to be assessed.
  • All applications for deferred in-semester examinations are assessed by the relevant school. Applications for deferred end-of-semester examinations are assessed by the Academic Services Division.
  • You’ll receive an email to your student email account when the status of your application is updated.
  • If you have a medical condition, mental health condition or disability and require alternative arrangements for your deferred exam you’ll need to complete the online alternative exam arrangements through my.UQ. This is in addition to your deferred examinations request. You need to submit this request on the same day as your request for a deferred exam or supplementary assessment. Contact Student Services if you need assistance completing your alternative exam arrangements request.

Learning resources

You'll need the following resources to successfully complete the course. We've indicated below if you need a personal copy of the reading materials or your own item.

Library resources

Find the required and recommended resources for this course on the UQ Library website.

Learning activities

The learning activities for this course are outlined below. Learn more about the learning outcomes that apply to this course.

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Learning period Activity type Topic
Multiple weeks

From Week 1 To Week 13
(24 Feb - 01 Jun)

Lecture

Lectures

Learning outcomes: L01, L02, L03, L04, L05

Multiple weeks

From Week 2 To Week 13
(03 Mar - 01 Jun)

Practical

Practicals

Tutorials will be mostly dedicated to implementations of algorithms seen during lectures.

Learning outcomes: L01, L02, L03, L04, L05

Policies and procedures

University policies and procedures apply to all aspects of student life. As a UQ student, you must comply with University-wide and program-specific requirements, including the:

Learn more about UQ policies on my.UQ and the Policy and Procedure Library.