Optimization of CRC-Based Single-Bit Error Correction Using a Perfect Hash Table Structure

This work introduces a novel approach for correcting a single-bit error in a CRC-protected message, which is based on a perfect hash table that can be queried by a non-zero CRC syndrome. The paper primarily focuses on presenting the new table structure and includes a comparative analysis of various CRC-based error correction methods, demonstrating that ours strikes an excellent balance between correction complexity and memory requirements. Complexity evaluation is performed in terms of the number of 2-input gate operations.

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Publication Details

Published
2025-05-25
DOI
https://doi.org/10.1109/iscas56072.2025.11043197
Primary Topic
Coding theory and cryptography
Type
article
Field-Weighted Citation Impact
0.00

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article

Optimization of CRC-Based Single-Bit Error Correction Using a Perfect Hash Table Structure

Patrick Corlay, François‐Xavier Coudoux, Stéphane Coulombe, Zouhair Ziani
Coding theory and cryptography
article

Optimization of CRC-Based Single-Bit Error Correction Using a Perfect Hash Table Structure

Patrick Corlay, François‐Xavier Coudoux, Stéphane Coulombe, Zouhair Ziani
article en

Abstract

This work introduces a novel approach for correcting a single-bit error in a CRC-protected message, which is based on a perfect hash table that can be queried by a non-zero CRC syndrome. The paper primarily focuses on presenting the new table structure and includes a comparative analysis of various CRC-based error correction methods, demonstrating that ours strikes an excellent balance between correction complexity and memory requirements. Complexity evaluation is performed in terms of the number of 2-input gate operations.

Centre National de la Recherche Scientifique (FR), Institut d'Electronique, de Microélectronique et de Nanotechnologie (FR), Université Polytechnique Hauts-de-France (FR), École de Technologie Supérieure (CA)
Natural Sciences and Engineering Research Council of Canada
Openalex Percentile: Top 93%
Coding theory and cryptography
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