MATH40610 Rank Metric Codes

Academic Year 2018/2019

This is an advanced module in algebraic coding theory. The main topic is the study of subspaces of matrices over finite fields, endowed with the rank metric. We will introduce basic concepts of rank metric codes, and explain their relevance to network coding. We will describe the main known classes of maximum rank metric codes and discuss their decoding methods. We will describe algebraic and combinatorial properties of rank metric codes.

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Curricular information is subject to change

Learning Outcomes:

Upon successful completion of this module, students should be:
able to represent rank metric codes in a variety of ways, such as via linearlized polynomials, as matrices and in vector form;
understand the how rank metric codes can be applied to error-correction in network coding
knowledgable of the duality theory of rank metric codes;
familiar with bounds associated with rank metric codes, such as those related to its covering radius and minimum distance;
familiar with the main classes of maximum rank metric codes;
familiar with decoding methods of generalized Gabidulin codes;

Student Effort Hours: 
Student Effort Type Hours
Lectures

36

Total

36

 
Requirements, Exclusions and Recommendations

Not applicable to this module.



 
Description % of Final Grade Timing
Examination: < Description >

100

3 hour End of Trimester Exam

Compensation

This module is not passable by compensation

Resit Opportunities

End of Semester Exam

Remediation

exam