On the Decoding of Lattices Constructed via a Single Parity Check.
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| Titel: | On the Decoding of Lattices Constructed via a Single Parity Check. |
|---|---|
| Autoren: | Corlay, Vincent, Boutros, Joseph J., Ciblat, Philippe, Brunel, Loic |
| Quelle: | IEEE Transactions on Information Theory; May2022, Vol. 68 Issue 5, p2951-2968, 18p |
| Schlagwörter: | ERROR probability, LEECHES, LATTICE theory, GAUSSIAN channels |
| 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, named $L_{3\cdot 24}$ , is constructed as a simple application of the single parity check 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 decoding. This leads to efficient list decoders and quasi-optimal decoders on the Gaussian channel. Both theoretical and practical performance (point error probability and complexity) of the new decoders are provided. [ABSTRACT FROM AUTHOR] |
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| Datenbank: | Complementary Index |
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