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Polar-coded forward error correction for MLC NAND flash memory

Science China(Information Sciences) 2018年第10期61卷 224-239页

作者： Haochuan SONG Jen-Chien FU Shih-Jia ZENG Jin SHA Zaichen ZHANG Xiaohu YOU Chuan ZHANG Lab of Efficient Architectures for Digital-communication(LEADS) National Mobile Communications Research Laboratory Southeast University Quantum Information Center of Southeast University National Mobile Communications Research Laboratory Southeast University Lite-On Technology Corporation School of Electronic Science and Engineering Nanjing University

With the ever-growing storage density, high-speed, and low-cost data access, flash memory has inevitably become popular. Multi-level cell(MLC) NAND flash memory, which can well balance the data density and memory stability, has occupied the largest market share of flash memory. With the aggressive memory scaling, however, the reliability decays sharply owing to multiple interferences. Therefore, the control system should be embedded with a suitable error correction code(ECC) to guarantee the data integrity and accuracy. We proposed the pre-check scheme which is a multi-strategy polar code scheme to strike a balance between reasonable frame error rate(FER) and decoding latency. Three decoders namely binaryinput, quantized-soft, and pure-soft decoders are embedded in this scheme. Since the calculation of soft loglikelihood ratio(LLR) inputs needs multiple sensing operations and optional quantization boundaries, a 2-bit quantized hard-decision decoder is proposed to outperform the hard-decoded LDPC bit-flipping decoder with fewer sensing operations. We notice that polar codes have much lower computational complexity compared with LDPC codes. The stepwise maximum mutual information(SMMI) scheme is also proposed to obtain overlapped boundaries without exhausting search. The mapping scheme using Gray code is employed and proved to achieve better raw error performance compared with other alternatives. Hardware architectures are also given in this paper.

关键词： polar coding non-volatile memory error correcting code NAND flash memory

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A CLASS OF GENERALIZED CYCLIC codeS

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Acta Mathematicae Applicatae Sinica 2000年第1期16卷 53-58页

作者：刘卓军林东岱 Institute of Systems Science AMMS the Chinese Academy of Sciences Beijing China

In this paper, we discuss how to construct a class of generalized cyclic codes, denoted by GCC. It is well known that a cyclic code is generated by a factor of x^n - 1. Clearly, any monic polynomial g(x) with degree less than n could be considered as a factor of some polynomial of degree n. Similarly the construction of cyclic codes, we explain how g(x) can generate a GCC. Meanwhile, as related to cyclic codes, experiments show that GCC can always produce a better parameter and/or give more linear codes. On the basis the of concept of GCC, we can also construct a linear code of [90,76,5] _2.

关键词： Cyclic code generating pdynomial generating matrix error correcting code

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High-speed decoding algorithm for international standard code of user's data in optical disk

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Progress in Natural Science:Materials International 1998年第2期 3-5页

作者：忻鼎稼 China Fudan University Shanghai 200433

A concept of incomplete error locator polynomial is introduced instead of the traditional error locatorof indicating all errors included in a received word, and a new strategy based on finding incomplete error locators of er-.ror patterns is presented, with which the famous Welch-Berlekamp algorithm is reformed such that the number of iterations matches the weight of errors in decoding, and the decoding speed is thus increased to a great extent.

关键词： optical disk error correcting code Welch-Berlekamp algorithm international standard.

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