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arxiv: 1105.5557 · v4 · pith:IUFZ6DO6new · submitted 2011-05-27 · 💻 cs.IT · math.CO· math.IT

Decoding q-ary lattices in the Lee metric

classification 💻 cs.IT math.COmath.IT
keywords decodinglatticesq-arycodesmetricspherealgorithmassociated
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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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