Codes over rings

Project description

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.

Project team

Leader: Margreta Kuijper

Collaborators: Raquel Pinto (University of Aveiro, Portugal), Judy Walker (University of Nebraska, USA)

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