Multilevel Coset Codes on Lattices
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866915921420877824 |
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| author | Bertholet, Leopold Makdad, Chloe Mackes, Stephen Chew, Daniel Robinson, Matthew |
| author_facet | Bertholet, Leopold Makdad, Chloe Mackes, Stephen Chew, Daniel Robinson, Matthew |
| contents | This work introduces coset Bombe codes, a novel class of multilevel coset codes that generalize polar codes to dense lattice structures. By leveraging multilevel coding with non-binary codes designed for the lattice modulations and making use of Voronoi shaping, Bombe codes integrate the geometric strengths of dense lattices such as $D_4$ with the capacity-approaching properties of polar codes. Experimental results in additive white Gaussian noise (AWGN) channels demonstrate that coset Bombe codes significantly outperform both BICM and MLC state-of-the-art schemes on 16-QAM. The proposed scheme simulated on AWGN achieves up to 0.8 dB of gain and reduces block size latency by half while maintaining superior bit and block error rate (BER/BLER) performance on codewords of 256 and 1024 bits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_06125 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Multilevel Coset Codes on Lattices Bertholet, Leopold Makdad, Chloe Mackes, Stephen Chew, Daniel Robinson, Matthew Information Theory This work introduces coset Bombe codes, a novel class of multilevel coset codes that generalize polar codes to dense lattice structures. By leveraging multilevel coding with non-binary codes designed for the lattice modulations and making use of Voronoi shaping, Bombe codes integrate the geometric strengths of dense lattices such as $D_4$ with the capacity-approaching properties of polar codes. Experimental results in additive white Gaussian noise (AWGN) channels demonstrate that coset Bombe codes significantly outperform both BICM and MLC state-of-the-art schemes on 16-QAM. The proposed scheme simulated on AWGN achieves up to 0.8 dB of gain and reduces block size latency by half while maintaining superior bit and block error rate (BER/BLER) performance on codewords of 256 and 1024 bits. |
| title | Multilevel Coset Codes on Lattices |
| topic | Information Theory |
| url | https://arxiv.org/abs/2604.06125 |