2022
DOI: 10.1109/tit.2022.3148196
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On the Decoding of Lattices Constructed via a Single Parity Check

Abstract: This paper investigates the decoding of a remarkable set of lattices: We treat in a unified framework the Leech lattice in dimension 24, the Nebe lattice in dimension 72, and the Barnes-Wall lattices. A new interesting lattice is constructed as a simple application of single parity-check principle on the Leech lattice. The common aspect of these lattices is that they can be obtained via a single parity check or via the k-ing construction. We exploit these constructions to introduce a new efficient paradigm for… Show more

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Cited by 2 publications
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