Um estudo de reticulados obtidos via Construção B

Grasiele C. Jorge, Antonio A. Campello Jr., Sueli I. R. Costa

DOI: 10.14209/sbrt.2012.153

Evento: XXX Simpósio Brasileiro de Telecomunicações (SBrT2012)

Keywords: q-ary codes Construction A Construction B Integer lattices.

Abstract

In this work we present a generalization of the so called Construction B of [3] for classes of q-ary codes with q 2 N and also some relations between the Constructions A and B. We show that the lattice obtained from a q-ary code via Construction B has qDn as sub-lattice and can alternatively be viewed as the Construction A of a 2q-ary code. Finally, we study an adaptation of the “Sphere decoding” algorithm for lattices obtained via Construction B from q-ary codes, q prime, in the sum metric.

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