|On the decoding of Barnes-Wall lattices
|Vincent Corlay, Mitsubishi Electric R&D Centre Europe/Telecom Paris, France; Joseph Jean Boutros, Texas A&M University, Qatar; Philippe Ciblat, Telecom Paris, France; Loïc Brunel, Mitsubishi Electric R&D Centre Europe, France
|C.10: Topics in Coding Theory
|Coding for Communications
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|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.