Decoding q-ary lattices in the Lee metric

Details Decoding q-ary lattices in the Lee metric Decoding q-ary lattices in the Lee metric

2011-05-27

arxiv.org/abs/1105.5557v4

Computer Science

Information Theory

5 pages, 4 figures. Presented at the 2012 Information Theory Workshop (ITW)

Scientific paper

q-ary lattices can be obtained from q-ary codes using the so-called Construction A. We investigate these lattices in the Lee metric and show how their decoding process can be related to the associated codes. For prime q we derive a Lee sphere decoding algorithm for q-ary lattices, present a brief discussion on its complexity and some comparisons with the classic sphere decoding.

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