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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.
https://hal.telecom-paris.fr/hal-02916093 Contributor : Philippe CIBLATConnect in order to contact the contributor Submitted on : Monday, August 17, 2020 - 12:49:59 PM Last modification on : Wednesday, November 3, 2021 - 6:18:20 AM Long-term archiving on: : Tuesday, December 1, 2020 - 7:58:56 PM
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⟩