Leveraging Code Automorphisms for Improved Syndrome-Based Neural Decoding

arXiv:2605.03620 · cs.IT, cs.LG, math.IT · Submitted 2026-05-05 · Read on arXiv

cs.IT, cs.LG, math.IT

Submitted: 2026-05-05

Updated: 2026-08-27

Code: https://github.com/lebidan/sbnd

Terminology

• Data Augmentation — 22× in this paper · explained in 7 episodes
• Transformer — 10× in this paper · explained in 2 episodes
• Decode — 9× in this paper · explained in 2 episodes
• Accuracy — 5× in this paper · explained in 1 episode
• Frame Error Rate — 5× in this paper
• Belief Propagation — 3× in this paper
• Bit Error Rate — 2× in this paper
• Adam — 1× in this paper · explained in 2 episodes
• Affine Group — 1× in this paper · explained in 1 episode
• Benchmark — 1× in this paper · explained in 2 episodes
• Foundation Model — 1× in this paper · explained in 3 episodes
• Latent Representation — 1× in this paper · explained in 2 episodes
• Ordered Statistics Decoding — 1× in this paper
• Redundancy — 1× in this paper · explained in 2 episodes
• Transformer Architecture — 1× in this paper · explained in 2 episodes

Sources

• Hybrid Mamba-Transformer Decoder for Error-Correcting Codes

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