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On distances and
self-dual codes over $F_q[u]/(u^t)$
Ricardo Alfaro, Stephen Bennett, Joshua Harvey and Celeste Thornburg
Vol. 2 (2009), No. 2, 177–194
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Abstract |
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New metrics and distances for linear codes over the ring are defined, which generalize the Gray map, Lee weight, and Bachoc weight; and new bounds on distances are given. Two characterizations of self-dual codes over are determined in terms of linear codes over . An algorithm to produce such self-dual codes is also established. |
Keywords
linear codes over rings, self-dual codes
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Mathematical Subject Classification 2000
Primary: 94B05, 94B60
Secondary: 11T71
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Milestones
Received: 21 August 2008
Revised: 10 December 2008
Accepted: 13 January 2009
Published: 7 May 2009
Communicated by Nigel Boston
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Authors |
| Ricardo Alfaro | |
| Mathematics Department University of Michigan–Flint Flint, MI 48502 United States |
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| Stephen Bennett | |
| Mathematics Department University of Michigan–Flint Flint, MI 48502 United States |
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| Joshua Harvey | |
| Mathematics Department University of Michigan–Flint Flint, MI 48502 United States |
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| Celeste Thornburg | |
| Mathematics Department University of Michigan–Flint Flint, MI 48502 United States |
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