Full Text:   <6208>

Summary:  <1621>

CLC number: TN911

On-line Access: 2024-08-27

Received: 2023-10-17

Revision Accepted: 2024-05-08

Crosschecked: 2021-06-08

Cited: 0

Clicked: 5344

Citations:  Bibtex RefMan EndNote GB/T7714

 ORCID:

Yang Liu

https://orcid.org/0000-0001-8541-8104

Jie Li

https://orcid.org/0000-0002-6488-3696

-   Go to

Article info.
Open peer comments

Frontiers of Information Technology & Electronic Engineering  2021 Vol.22 No.8 P.1127-1139

http://doi.org/10.1631/FITEE.2000323


A BCH error correction scheme applied to FPGA with embedded memory


Author(s):  Yang Liu, Jie Li, Han Wang, Debiao Zhang, Kaiqiang Feng, Jinqiang Li

Affiliation(s):  National Key Laboratory for Electronic Measurement Technology, North University of China, Taiyuan 030051, China; more

Corresponding email(s):   lylyly357@163.com, lijie@nuc.edu.cn

Key Words:  Error correction algorithm, Bose–, Chaudhuri–Hocquenghem (BCH) code, Field programmable gate array (FPGA), NAND flash


Yang Liu, Jie Li, Han Wang, Debiao Zhang, Kaiqiang Feng, Jinqiang Li. A BCH error correction scheme applied to FPGA with embedded memory[J]. Frontiers of Information Technology & Electronic Engineering, 2021, 22(8): 1127-1139.

@article{title="A BCH error correction scheme applied to FPGA with embedded memory",
author="Yang Liu, Jie Li, Han Wang, Debiao Zhang, Kaiqiang Feng, Jinqiang Li",
journal="Frontiers of Information Technology & Electronic Engineering",
volume="22",
number="8",
pages="1127-1139",
year="2021",
publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.2000323"
}

%0 Journal Article
%T A BCH error correction scheme applied to FPGA with embedded memory
%A Yang Liu
%A Jie Li
%A Han Wang
%A Debiao Zhang
%A Kaiqiang Feng
%A Jinqiang Li
%J Frontiers of Information Technology & Electronic Engineering
%V 22
%N 8
%P 1127-1139
%@ 2095-9184
%D 2021
%I Zhejiang University Press & Springer
%DOI 10.1631/FITEE.2000323

TY - JOUR
T1 - A BCH error correction scheme applied to FPGA with embedded memory
A1 - Yang Liu
A1 - Jie Li
A1 - Han Wang
A1 - Debiao Zhang
A1 - Kaiqiang Feng
A1 - Jinqiang Li
J0 - Frontiers of Information Technology & Electronic Engineering
VL - 22
IS - 8
SP - 1127
EP - 1139
%@ 2095-9184
Y1 - 2021
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/FITEE.2000323


Abstract: 
Given the potential for bit flipping of data on a memory medium, a high-speed parallel bose–Chaudhuri–Hocquenghem (BCH) error correction scheme with modular characteristics, combining logic implementation and a look-up table, is proposed. It is suitable for data error correction on a modern field programmable gate array full with on-chip embedded memories. We elaborate on the optimization method for each part of the system and analyze the realization process of this scheme in the case of the BCH code with an information bit length of 1024 bits and a code length of 1068 bits that corrects the 4-bit error.

一种应用于带有嵌入式存储器的FPGA的BCH纠错方案

刘洋1,李杰1,王瀚1,张德彪1,冯凯强1,李金强2
1中北大学电子测量技术国家重点实验室,中国太原市,030051
2山东航天电子技术研究所,中国烟台市,264000
摘要:鉴于存储介质上的数据存在位翻转的可能,提出一种模块化的、高速并行的Bose–Chaudhuri–Hocquenghem(BCH)纠错方案,该方案结合了逻辑实现和查找表。所提方案适用于具有片上嵌入式存储器的现场可编程门阵列的数据纠错。详细阐述了系统各部分的优化方法,并分析了该方案在BCH码信息位长度为1024位、码长为1068位且可纠正4位错误情况下的实现过程。

关键词:纠错算法;Bose–Chaudhuri–Hocquenghem(BCH)码;现场可编程门阵列(FPGA);闪存

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1]Ayinala M, Parhi KK, 2011. High-speed parallel architectures for linear feedback shift registers. IEEE Trans Signal Process, 59(9):4459-4469.

[2]Bellorado J, Kavcic A, 2010. Low-complexity soft-decoding algorithms for Reed–Solomon codes—part I: an algebraic soft-in hard-out chase decoder. IEEE Trans Inform Theory, 56(3):945-959.

[3]Berlekamp E, 2015. Algebraic Coding Theory. World Scientific, London, UK.

[4]Cho SG, Kim D, Choi J, et al., 2014. Block-wise concatenated BCH codes for NAND flash memories. IEEE Trans Commun, 62(4):1164-1177.

[5]Hu GH, Sha J, Wang ZF, 2017. High-speed parallel LFSR architectures based on improved state-space transformations. IEEE Trans Very Large Scale Integr Syst, 25(3):1159-1163.

[6]Jung J, Yoo H, Lee Y, et al., 2015. Efficient parallel architecture for linear feedback shift registers. IEEE Trans Circ Syst II, 62(11):1068-1072.

[7]Kim D, Narayanan KR, Ha J, 2018. Symmetric block-wise concatenated BCH codes for NAND flash memories. IEEE Trans Commun, 66(10):4365-4380.

[8]Kim J, Sung W, 2012. Low-energy error correction of NAND flash memory through soft-decision decoding. EURASIP J Adv Signal Process, 2012(1):195.

[9]Kumar HP, Sripati U, Shetty KR, 2012. High-speed and parallel approach for decoding of binary BCH codes with application to flash memory devices. Int J Electron, 99(5):683-693.

[10]Massey J, 1969. Shift-register synthesis and BCH decoding. IEEE Trans Inform Theory, 15(1):122-127.

[11]Moon TK, 2005. Error Correction Coding: Mathematical Methods and Algorithms. John Wiley & Sons, Inc., Hoboken, USA.

[12]Neubauer A, Freudenberger J, Kühn V, 2007. Coding Theory: Algorithms, Architectures, and Applications. John Wiley & Sons, Ltd., Chichester, UK.

[13]Paar C, 1996. A new architecture for a parallel finite field multiplier with low complexity based on composite fields. IEEE Trans Comput, 45(7):856-861.

[14]Pandian KKS, Ray KC, 2015. Five decade evolution of feedback shift register: algorithms, architectures and applications. Int J Commun Netw Distr Syst, 15(2-3):279.

[15]Pei TB, Zukowski C, 1992. High-speed parallel CRC circuits in VLSI. IEEE Trans Commun, 40(4):563-657.

[16]Shieh MD, Sheu MH, Chen CH, et al., 2001. A systematic approach for parallel CRC computations. J Inform Sci Eng, 17(3):445-461.

[17]Unal B, Akoglu A, Ghaffari F, et al., 2018. Hardware implementation and performance analysis of resource efficient probabilistic hard decision LDPC decoders. IEEE Trans Circ Syst I, 65(9):3074-3084.

[18]Xu FX, Liu Y, Liu YQ, et al., 2013. Design and implementation of mode reconfigurable NAND flash error correcting system. J Centr South Univ Sci Technol, 44(5):1918-1925 (in Chinese).

[19]Yang CG, Emre Y, Chakrabarti C, 2012. Product code schemes for error correction in MLC NAND flash memories. IEEE Trans Very Large Scale Integr Syst, 20(12):2302-2314.

[20]Zhang M, Wu F, Xie CS, 2015. A novel optimization algorithm for Chien search of BCH codes in NAND flash memory devices. IEEE Int Conf on Networking, Architecture and Storage, p.106-111.

[21]Zhang XM, 2019. A low-power parallel architecture for linear feedback shift registers. IEEE Trans Circ Syst II, 66(3):412-416.

[22]Zhang XM, Parhi KK, 2005. High-speed architectures for parallel long BCH encoders. IEEE Trans Very Large Scale Integr Syst, 13(7):872-877.

Open peer comments: Debate/Discuss/Question/Opinion

<1>

Please provide your name, email address and a comment





Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn
Copyright © 2000 - 2024 Journal of Zhejiang University-SCIENCE