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Self-dual codes overmathbb{Z}_8 andmathbb{Z}_9 |
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| Authors: | Steven T Dougherty T Aaron Gulliver John Wong |
| Affiliation: | (1) Department of Mathematics, University of Scranton, Scranton, PA 18510, USA;(2) Department of Electrical and Computer Engineering, University of Victoria, P.O. Box 3055, STN CSC, Victoria, BC, Canada, V8W 3P6 |
| Abstract: | We study self-dual codes over the rings and . We define various weights and weight enumerators over these rings and describe the groups of invariants for each weight enumerator over the rings. We examine the torsion codes over these rings to describe the structure of self-dual codes. Finally we classify self-dual codes of small lengths over . |
| Keywords: | Self-dual code Codes over rings |
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