2013
DOI: 10.5573/jsts.2013.13.5.465
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Low-Complexity Triple-Error-Correcting Parallel BCH Decoder

Abstract: Abstract-This paper presents a low-complexity triple-error-correcting parallel Bose-ChaudhuriHocquenghem (BCH) decoder architecture and its efficient design techniques. A novel modified step-bystep (m-SBS) decoding algorithm, which significantly reduces computational complexity, is proposed for the parallel BCH decoder. In addition, a determinant calculator and a error locator are proposed to reduce hardware complexity. Specifically, a sharing syndrome factor calculator and a self-error detection scheme are pr… Show more

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Cited by 5 publications
(6 citation statements)
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“…In Table 1 [ 7,8,10,14 ] , Dec 4 costs about 2.5 kbits of RAMs, while Dec 5 costs about 544 kbits of RAMs. For examples, the error pattern of the (15,7,2) code can be represented by the middle 8 syndrome bits (or middle 2 syndrome components S2 and S3 in GF(24)), while the error pattern of the (31,16,3) can be represented by 15 syndrome bits (or just 3 syndrome components S3, S4 and S5 in GF(25)).…”
Section: The Bch (15 7 2) and (31 16 3) Decodermentioning
confidence: 99%
“…In Table 1 [ 7,8,10,14 ] , Dec 4 costs about 2.5 kbits of RAMs, while Dec 5 costs about 544 kbits of RAMs. For examples, the error pattern of the (15,7,2) code can be represented by the middle 8 syndrome bits (or middle 2 syndrome components S2 and S3 in GF(24)), while the error pattern of the (31,16,3) can be represented by 15 syndrome bits (or just 3 syndrome components S3, S4 and S5 in GF(25)).…”
Section: The Bch (15 7 2) and (31 16 3) Decodermentioning
confidence: 99%
“…As mentioned, S i (i=1, 3) is required in m-SBS algorithm-based HD-BCH decoding [4] to calculate the syndrome. The SC consists of a parallel SC cell to receive the parallelized codeword, as shown in Fig.…”
Section: A Syndrome Calculatormentioning
confidence: 99%
“…The hard-decision kernel uses a HD-BCH decoding structure based on an m-SBS algorithm [4]. It consists of the SC block, the SFC block, and the CS and MC block, as shown in Fig.…”
Section: Hard-decision Kernelmentioning
confidence: 99%
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