| EPSRC Reference: |
GR/L07680/01 |
| Title: |
CODES OVER CHAIN RINGS |
| Principal Investigator: |
Norton, Dr G |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Project Partners: |
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| Department: |
Electrical and Electronic Engineering |
| Organisation: |
University of Bristol |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 April 1997 |
Ends: |
31 March 2000 |
Value (£): |
103,856
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| EPSRC Research Topic Classifications: |
| Digital Signal Processing |
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Summary on Grant Application Form |
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We propose studying the algebraic properties and decoding of error-correcting codes over finite rings such as Z_4 and their finite extensions (galois rings) as families of cyclic codes (BCH, Reed Solomon, quadratic residue) using two approaches: established algebraic techniques (multi. group of units, canonical rings maps, DFT) and the inverse system of a code, including its p-adic limit, obtained by Hensel lifting. Symbolic computation will play a key role of extending the theory and for developing algorithms. Since any cyclic code over Z_q (q +p?e) yields a code over Z_p with many codewords, this work has the potential of introducing new p-ary codes with good minimum distance and which can be systematically and efficiently decoded. The proposer is unaware of other UK research on linear block codes over chain rings.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.bris.ac.uk |