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On the decoding of Barnes-Wall lattices

Vincent Corlay Joseph Boutros 1 Philippe Ciblat 2, 3 Loïc Brunel 4
1 Texas A&M University System
2 COMELEC - Département Communications & Electronique
3 COMNUM - Communications Numériques
LTCI - Laboratoire Traitement et Communication de l'Information
4 MERCE-France - Mitsubishi Electric R&D Centre Europe [France]
Abstract : We present new efficient recursive decoders for the Barnes-Wall lattices based on their squaring construction. The analysis of the new decoders reveals a quasi-quadratic complexity in the lattice dimension. The error rate is shown to be close to the universal lower bound in dimensions 64 and 128.
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https://hal.telecom-paris.fr/hal-02916093
Contributor : Philippe Ciblat <>
Submitted on : Monday, August 17, 2020 - 12:49:59 PM
Last modification on : Thursday, September 3, 2020 - 2:36:02 PM

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  • HAL Id : hal-02916093, version 1

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INSMI | INSTITUT-TELECOM | PARISTECH | COMELEC | COMNUM | LTCI | IP_PARIS

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Vincent Corlay, Joseph Boutros, Philippe Ciblat, Loïc Brunel. On the decoding of Barnes-Wall lattices. IEEE International Symposium on Information Theory (ISIT), 2020, Los Angeles, United States. ⟨hal-02916093⟩

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