MSE Research Project Database

Codes over rings


Project Leader: Margreta Kuijper
Collaborators: Raquel Pinto (University of Aveiro, Portugal), Judy Walker (University of Nebraska, USA)
Primary Contact: Margreta Kuijper (mkuijper@unimelb.edu.au)
Keywords: communications and networks; error control coding
Disciplines: Electrical & Electronic Engineering
Domains: Networks and data in society

This project focuses on algebraic codes over finite rings of the type Z_{p^r}. In recent years, novel linear algebraic tools were developed that overcome the difficulties of the presence of zero divisors in such rings.

Current research is focused on further application of these fundamental ideas. We consider the design of efficient algorithms for decoding of Reed-Solomon codes over rings; network coding over finite rings; shortest recurrence algorithms for sequences over rings; non-Hamming metric decoding over finite rings.