Handbook of Error-Correcting Codes

Victor V. Albert and Philippe Faist · 2026 · arXiv

| 编号 QE058 | 主题 经典编码基础 | 链接 arXiv:2606.11484 |

摘要

摘要保留原文(英文)

摘要取自 arXiv / 出版方元数据,未作翻译,以保证与原文一致。

Barcode scans, clear phone calls, reliable data storage, satellite communication, and large-scale quantum computation are all made possible by error correction. We present a handbook version of The Error Correction Zoo, a curated reference of methods for protecting classical or quantum information from errors during storage and transmission. The handbook includes descriptions of these error-correcting codes and a classification according to the symbols they use. It also catalogues relations among codes and related objects such as sphere packings, lattices, designs, groups, and classical and quantum phases of matter. The collection is intended both as a rigorous reference and as a practical aid for tracing the web of code relationships and uncovering new connections.

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