Sequential Automorphism Ensemble Decoding with Early Stopping
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866914583031054336 |
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| author | Pillet, Charles Giard, Pascal Selim, Bassant Leduc-Primeau, François |
| author_facet | Pillet, Charles Giard, Pascal Selim, Bassant Leduc-Primeau, François |
| contents | In this paper, a low-complexity approach for the automorphism ensemble decoder (AED) using successive cancellation (SC) as constituent decoders is proposed. The approach sequentially activates sub-decoders and terminates the decoding process based on pre-optimized parameters, derived from the strong correlation observed between the decoding outcome and the SC path metric. An algorithm is proposed to find a list of early termination thresholds that minimize average decoding complexity subject to a block-error rate (BLER) constraint. For various code parameters and a BLER below $10^{-3}$, simulation results show that average decoding complexity is reduced by a factor of at least $6 \times$, and up to $22 \times$, compared to the original AED complexity, with a negligible degradation in BLER. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_00255 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Sequential Automorphism Ensemble Decoding with Early Stopping Pillet, Charles Giard, Pascal Selim, Bassant Leduc-Primeau, François Information Theory In this paper, a low-complexity approach for the automorphism ensemble decoder (AED) using successive cancellation (SC) as constituent decoders is proposed. The approach sequentially activates sub-decoders and terminates the decoding process based on pre-optimized parameters, derived from the strong correlation observed between the decoding outcome and the SC path metric. An algorithm is proposed to find a list of early termination thresholds that minimize average decoding complexity subject to a block-error rate (BLER) constraint. For various code parameters and a BLER below $10^{-3}$, simulation results show that average decoding complexity is reduced by a factor of at least $6 \times$, and up to $22 \times$, compared to the original AED complexity, with a negligible degradation in BLER. |
| title | Sequential Automorphism Ensemble Decoding with Early Stopping |
| topic | Information Theory |
| url | https://arxiv.org/abs/2605.00255 |