• Title/Summary/Keyword: error code

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Code Construction Methods for Error Discriminating and Unidirectional Error Control Codes

  • Ahn Tae Nam;Sakaniwa Kohichi;Rao T. R. N.
    • Journal of the military operations research society of Korea
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    • v.15 no.2
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    • pp.56-77
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    • 1989
  • A new concept, namely the error discrimination of a code defined as the capability to not only detect errors from two distinct error sets but also to distinguish between them has been introduced in [SAKA 89a]. Consider $E_+\;and\;E_-$ as the two distinct error sets, namely the positive error set and the negative error set respectively. If a code C is not only capable of detecting any error e in {$E_+,\;E_-$}, but also able to identify the error set to which e belongs then the code is said to be an $E_+\;&\;E_-$ error discriminating code. The error discriminating property enables construction of unidirectional error detecting/correcting codes using asymmetric error control code. We derive here theory for asymmetric t error correcting and d error detecting codes. Furthermore, unidirectional error control code construction methods are introduced using asymmetric error control codes and $E_+\;&\;E_-$ error discriminating codes.

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Efficient Implementation of Single Error Correction and Double Error Detection Code with Check Bit Pre-computation for Memories

  • Cha, Sanguhn;Yoon, Hongil
    • JSTS:Journal of Semiconductor Technology and Science
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    • v.12 no.4
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    • pp.418-425
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    • 2012
  • In this paper, efficient implementation of error correction code (ECC) processing circuits based on single error correction and double error detection (SEC-DED) code with check bit pre-computation is proposed for memories. During the write operation of memory, check bit pre-computation eliminates the overall bits computation required to detect a double error, thereby reducing the complexity of the ECC processing circuits. In order to implement the ECC processing circuits using the check bit pre-computation more efficiently, the proper SEC-DED codes are proposed. The H-matrix of the proposed SEC-DED code is the same as that of the odd-weight-column code during the write operation and is designed by replacing 0's with 1's at the last row of the H-matrix of the odd-weight-column code during the read operation. When compared with a conventional implementation utilizing the odd-weight- column code, the implementation based on the proposed SEC-DED code with check bit pre-computation achieves reductions in the number of gates, latency, and power consumption of the ECC processing circuits by up to 9.3%, 18.4%, and 14.1% for 64 data bits in a word.

A New Approach to Multi-objective Error Correcting Code Design Method (다목적 Error Correcting Code의 새로운 설계방법)

  • Lee, Hee-Sung;Kim, Eun-Tai
    • Journal of the Korean Institute of Intelligent Systems
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    • v.18 no.5
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    • pp.611-616
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    • 2008
  • Error correcting codes (ECCs) are commonly used to protect against the soft errors. Single error correcting and double error detecting (SEC-DED) codes are generally used for this purpose. The proposed approach in this paper selectively reduced power consumption, delay, and area in single-error correcting, double error-detecting checker circuits that perform memory error correction. The multi-objective genetic algorithm is employed to solve the non -linear optimization problem. The proposed method allows that user can choose one of different non-dominated solutions depending on which consideration is important among them. Because we use multi-objective genetic algorithm, we can find various dominated solutions. Therefore, we can choose the ECC according to the important factor of the power, delay and area. The method is applied to odd-column weight Hsiao code which is well- known ECC code and experiments were performed to show the performance of the proposed method.

An Error Control Line Code Based on an Extended Hamming Code (확대 Hamming 부호를 이용한 오류제어선로부호)

  • 김정구;정창기;이수인;주언경
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.19 no.5
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    • pp.912-919
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    • 1994
  • A new error control line code based on an extended Hamming code is proposed and its performance is analyzed in this paper. The proposed code is capable of single error correction and double error detection since its minimum Hamming distance is 4. In addition, the error detection capability can be oncreased due to the redundancy bit used for line coding. As a result, the proposed code shows lower code rate, but better spectral characteristics in low frequency region and lower residual bit error rate than the conventional error correction line code using Hamming (7, 4) code.

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The Study about Channel code to Overcome Multipath of Underwater Channel (수중통신채널에서 다중경로 극복을 위한 오류정정부호에 대한 연구)

  • Kim, Nam-Soo;Kim, Min-Hyuk;Park, Tae-Doo;Kim, Chul-Seung;Jung, Ji-Won
    • Journal of Advanced Marine Engineering and Technology
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    • v.33 no.5
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    • pp.738-745
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    • 2009
  • Underwater acoustic communication has multipath error because of reflection by sea-level and sea-bottom. The multipath of underwater channel causes receive signal to make error floor. In this paper, we propose the underwater communication system using various channel coding schemes such as RS coding, convolutional code, turbo code and concatenated code for overcoming the multipath effect in underwater channel. As shown in simulation results, characteristic of multipath error is similar to that of random error. So interleaver has not effect on error correcting. For correcting of error floor by multipath, it is necessary to use strong channel codes like turbo code. Turbo code is one of the iterative codes. And the performance of concatenated codes including RS code has better performance than using singular channel codes.

A clustered cyclic product code for the burst error correction in the DVCR systems (DVCR 시스템의 연집 오류 정정을 위한 클러스터 순환 프러덕트 부호)

  • 이종화;유철우;강창언;홍대식
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.34S no.2
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    • pp.1-10
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    • 1997
  • In this paper, an improved lower bound on the burst-error correcting capability of th ecyclic product code is presented and through the analysis of this new bound clustered cyclic product (CCP abbr.)code is proposed. The CCP code, to improve the burst-error correcting capability, combines the idea of clustering and the transmission method of cyclic product code. That is, a cluster which is defined in this paper as a group of consecutive code symbols is employed as a new transmission unit to the code array transmission of cyclic product code. the burst-error correcting capability of the CCP code is improved without a loss in the random-error correcting capability and performance comparison in the digital video camera records (DVCR) system shows the superiority of the proposed CCP code over conventional product codes.

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Concatenated Coding System for an Effective Error Correction (효율적인 에러 정정을 위한 콘케티네이티드 코팅 시스템)

  • Kang, Beob Joo;Kang, Chang Eon
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.23 no.3
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    • pp.309-316
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    • 1986
  • A concatenated coding system using a binary code as the inner code and a nonbinary code as the outer code has been constructed for the purpose of error correction. The complexity of a conventional coding system grows exponentially as the code length of a block code becomes longer. To reduce the complexity for ling code, an effective communication system has been proposed by cascading two codes-binary and norbinary codes. Using a parallel-to-serial circuit and a serial-to-parallel circuit, the concatenated coding system has been designed and constructed by empolying a (7,3) burst error correcting code as the inner code and a (7,3) Reed-Solomon code as the outer code. This system has been simulated and tested using a micro-computer. For the (49,9) concatenated coding system, the error probability of the channel has been evaluated and compared to different coding systems.

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Study on Structure and Principle of Linear Block Error Correction Code (선형 블록 오류정정코드의 구조와 원리에 대한 연구)

  • Moon, Hyun-Chan;Kal, Hong-Ju;Lee, Won-Young
    • The Journal of the Korea institute of electronic communication sciences
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    • v.13 no.4
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    • pp.721-728
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    • 2018
  • This paper introduces various linear block error correction code and compares performances of the correction circuits. As the risk of errors due to power noise has increased, ECC(: Error Correction Code) has been introduced to prevent the bit error. There are two representatives of ECC structures which are SEC-DED(: Single Error Correction Double Error Detection) and SEC-DED-DAEC(: Double Adjacent Error Correction). According to simulation results, the SEC-DED circuit has advantages of small area and short delay time compared to SEC-DED-DAEC circuits. In case of SED-DED-DAEC, there is no big difference between Dutta's and Pedro's from performance point of view. Therefore, Pedro's code is more efficient than Dutta' code since the correction rate of Pedro's code is higher than that of Dutta's code.

BURST-ERROR-CORRECTING BLOCK CODE USING FIBONACCI CODE

  • Lee, Gwang-Yeon;Choi, Dug-Hwan;Kim, Jin-Soo
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.3
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    • pp.367-374
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    • 2009
  • The errors take place in the communication channel but they are often burst-error types. From properties of the Fi-bonacci code, it is not difficult to detect the burst-errors accompanying with this code. Fibonacci codes for correcting the double-burst-error patterns are presented. Given the channel length with the double-burst-error type, Fibonacci code correcting these errors is constructed by a simple formula.

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A Study on the Efficient Concatenated Code on the Diffusion-based Molecular Communication Channel (확산기반 분자통신 채널에 효율적인 직렬 연결 부호에 관한 연구)

  • Cheong, Ho-Young
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.15 no.4
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    • pp.230-236
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    • 2022
  • In this paper, we propose an efficient concatenated code for both random and ISI errors on diffusion-based molecular communication channels. The proposed concatenated code was constructed by combining the ISI-mitigating code designed for ISI mitigation and the ISI-Hamming code strong against random errors, and the BER(bit error rate) performance was analyzed through simulation. In the case of the above M=1,200 channel environment, it was found that the error rate performance of the concatenated code follows the error rate performance of the ISI-mitigating code, which is strong against ISI, and follows the error rate performance of the ISI-Hamming code, which is strong against random errors, in the channel environment below M=600. In M=600~1,200, the concatenated code shows the best error rate performance among those of three codes, which is analyzed because it can correct both random errors and errors caused by ISI. In the following cases of below M=800, it can be seen that the error rate of the concatenated code and the ISI-mitigating code shows an error rate difference of about 1.0×10-1 on average.