Abstract
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.
Citation
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
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