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Forward Backward Syndrome Computation: A Reduced Complexity CRC Code Decoder

delete2023-05-01
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OA
AI
T
Titouan Gendron
E
Emmanuel Boutillon *
C
Charbel Abdel Nour
DOI:10.1109/LCOMM.2023.3264162delete
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Abstract

Abstract

En 中文
This letter proposes a simplified method for correcting a single-bit error event in a message protected by a CRC code thanks to a new decoding method called Forward-Backward Syndrome Computation. The two key ideas of the letter are to show that: 1) syndrome computation can be performed in any direction (Forward and Backward), 2) consequently, it is possible to create a partition of the received message in a set of disjoint syndromes, thus allowing a direct identification of the error position. Evaluation in terms of number of 2-input binary logic functions shows a complexity reduction by a factor of up to 3 compared to conventional methods.
Keywords:
Decoding
Cyclic redundancy check codes
Codes
Complexity theory
Generators
Encoding
Electronic mail
CRC code
error correction
single-bit error
syndrome computation

Journal

IEEE Communications Letters cover
IEEE Communications Letters
IF:
4.4
Papers:
1.3W
Citations:
2.2W

Organization

U
universite de bretagne occidentale
Scholars:
7.2K
Papers: 5.0K
Citations: 6
C
centre national de la recherche scientifique (cnrs)
Scholars:
24.5W
Papers: 18.2W
Citations: 279