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2009 On distances and self-dual codes over $F_q[u]/(u^t)$
Ricardo Alfaro, Stephen Bennett, Joshua Harvey, Celeste Thornburg
Involve 2(2): 177-194 (2009). DOI: 10.2140/involve.2009.2.177

Abstract

New metrics and distances for linear codes over the ring Fq[u](ut) 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 Fq[u](ut) are determined in terms of linear codes over Fq. An algorithm to produce such self-dual codes is also established.

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Ricardo Alfaro. Stephen Bennett. Joshua Harvey. Celeste Thornburg. "On distances and self-dual codes over $F_q[u]/(u^t)$." Involve 2 (2) 177 - 194, 2009. https://doi.org/10.2140/involve.2009.2.177

Information

Received: 21 August 2008; Revised: 10 December 2008; Accepted: 13 January 2009; Published: 2009
First available in Project Euclid: 20 December 2017

zbMATH: 1167.94339
MathSciNet: MR2501336
Digital Object Identifier: 10.2140/involve.2009.2.177

Subjects:
Primary: 94B05, 94B60
Secondary: 11T71

Rights: Copyright © 2009 Mathematical Sciences Publishers

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