• Title/Summary/Keyword: Reed-Solomon codes

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A Study on Decoding Method of the R-S Code for Double-Encoding System in the Frequency Domain (주파수 영역에서 2중부호화 R-S부호의 부호방식에 관한 연구)

  • 전경일;김남욱;김용득
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.14 no.3
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    • pp.216-226
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    • 1989
  • In this paper, we explain about an outline of the decoding method for double encoding system using the error correcting capacitance and a simple decoding method. We have been taken formation two-dimension code word of doubly-encoded code using $C_1$(32, 28, 5) and $C_2$(32, 26, 7) Reed-Solomon codes, and had computer simulation of the erroe correcting processes in frequency domain. On these processes, the newly developed digital signal processing technology such as error correction using Berlekamp-Massey algorithm in frequency domain have been proven.

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Adaptive Decoding Scheme of Concatenated Codes for Frequency-Hopped Spread-Spectrum Communications with a Pulse-Burst Jamming (펄스형 Jamming 신호가 존재하는 주파수 도약 대역확산 통신환경에서 쇄상부호 시스템의 적응 복호화 방식)

  • 김정곤;김성대;김형명
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.19 no.7
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    • pp.1234-1243
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    • 1994
  • We propose an adaptive decoding scheme for a concatenated codes with frequency-hopped spread-spectrum communication system in the presence of a pulse-burst jammer and its performance is analyzed. Concatenated coding system employing binary inner code and Reed-Solomon outer code is investigated and the use of side information is allowed to decode both erasures and errors. Our scheme makes the decoder adapts to the level of jamming by switching between two decoding modes such that the overall block error probability can be reduced. It is shown that the proposed decoding scheme yields a significant performance improvement over a conventional decoding scheme.

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Performance Analysis of Low Bit-Rate Image Transmission over Concatenated Code WLL system (연쇄 부호화된 WLL 시스템을 통한 저비트율 영상전송 성능분석)

  • 이병길;조현욱;박길흠
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.24 no.9B
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    • pp.1616-1623
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    • 1999
  • This paper describes error resilient coding scheme is added in WLL system and its application for robust low-bit rate still image transmission over power controlled W-CDA system Rayleigh fading channels. The baseline JPEG compressing methods are uses in image coding over wireless channel. The channel uses Reed-Solomon(RS) outer codes concatenated with convolutional inner codes, and truncated type I hybrid ARQ protocol based on the selective repeat strategy and the RS error detection capability. Simulation results are proved for the statistics of the frame-error bursts of the proposed system in comparison with conventional WLL system. it gains the 2 dB of the Eb/No in same BER.

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리드-솔로몬과 Convolutional 코드에 의한 Concatenatec 코딩시스템

  • 한원섭;강창언
    • Proceedings of the Korean Institute of Communication Sciences Conference
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    • 1986.10a
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    • pp.79-82
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    • 1986
  • For the purpose of error correcting, a concatenated coding system has been proposed by cascading two codes-(7, 3) Reed-Solomon and (2, 1, 6) convolutional codes. As a result of the result of the computer simulation and the experiment, the (98.21) concatenated code has been show to be able to correct 12 randome error and 16 bust errors. When the channel error is about 1.2x10, this system indicats most efficient.

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Performance Analysis of FEC for Low Power Wireless Sensor Networks (저전력 무선 센서 네트워크를 위한 FEC 성능 분석)

  • Lee, Min-Goo;Park, Yong-Guk;Jung, Kyung-Kwon;Yoo, Jun-Jae;Sung, Ha-Gyeong
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2010.05a
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    • pp.882-885
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    • 2010
  • In view of the severe energy constraint in sensor networks, it is important to use the error control scheme of the energy efficiently. In this paper, we presented FEC (Forward Error Correcting) codes in terms of their power consumption. One method of FEC is RS (Reed-Solomon) coding, which uses block codes. RS codes work by adding extra redundancy to the data. The encoded data can be stored or transmitted. It could have errors introduced, when the encoded data is recovered. The added redundancy allows a decoder to detect which parts of the received data is corrupted, and corrects them. The number of errors which are able to be corrected by RS code can determine by added redundancy. We could predict the lifetime of RS codes which transmitted at 32 byte a 1 minutes. RS(15, 13), RS(31, 27), RS(63, 57), RS(127,115), and RS(255,239) can keep the days of 138, 132, 126, 111, and 103 respectively.

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Design of Degree-Computationless Modified Euclidean Algorithm using Polynomial Expression (다항식 표현을 이용한 DCME 알고리즘 설계)

  • Kang, Sung-Jin;Kim, Nam-Yong
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.36 no.10A
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    • pp.809-815
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    • 2011
  • In this paper, we have proposed and implemented a novel architecture which can be used to effectively design the modified Euclidean (ME) algorithm for key equation solver (KES) block in high-speed Reed-Solomon (RS) decoder. With polynomial expressions of newly-defined state variables for controlling each processing element (PE), the proposed architecture has simple input/output signals and requires less hardware complexity because no degree computation circuits are needed. In addition, since each PE circuit is independent of the error correcting capability t of RS codes, it has the advantage of linearly increase of the hardware complexity of KES block as t increases. For comparisons, KES block for RS(255,239,8) decoder is implemented using Verilog HDL and synthesized with 0.13um CMOS cell library. From the results, we can see that the proposed architecture can be used for a high-speed RS decoder with less gate count.

Shared-type Encoder/Decoder Based on 2-D Optical Codes for Large Capacity Optical CDMA Network (대용량 광 부호 분할 다중접속(Optical CDMA) 네트워크를 위한 2차원 코드의 공유형 부호기/복호기)

  • Ko Wonseok;Shin Seoyong;Hwang Humor;Chang Chulho
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.30 no.5A
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    • pp.359-369
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    • 2005
  • For large capacity optical CDMA networks, we propose a shared-type encoder/decoders based on an tunable wavelength converter(TWC) and an arrayed waveguide grating (AWG) router. The proposed encoder/decoder treats codewords of wavelength/time 2-D code simultaneously using the dynamic code allocation property of the TWC and the cyclic property of the AWG router, and multiple subscribers can share the encoder/decoder in networks. Feasibility of the structure of the proposed encoder/decoder for dynamic code allocation is tested through simulations using two wavelength/time 2-D codes, which are the generalized multi-wavelength prime code(GMWPC) and the generalized multi-wavelength Reed-Solomon code(GMWRSC). Test results show that the proposed encoder/decoder can increase the channel efficiency not only by increasing the number of simultaneous users without any multiple-access interference but by using a relatively short length CDMA codes.

Block Error Performance improvement of the DS/CDMA BPSK system with MRC Diversity and Channel coding Techniques in Nakagami Fading Channel. (Nakagami 페이딩 채널에서 MRC 다이버시티와 채널 부호화 기법을 사용한 DS/CDMA BPSK 시스템의 블록 오율 성능 개선)

  • 강희조;노재성;조성준
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.25 no.3A
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    • pp.391-398
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    • 2000
  • In this paper, MRC(Maximum Ratio Combine) diversity, (23, 12) Golay code, (7, 5) Reed-Solomon code, and (3, 1) majority selection code are employed to improve the performance of DS/CDMA BRSK in Nakagami fading channel. and MRC diversity combined with other coding techniques is suggested, with which, the performance of DS/CDMA BRSK is compared and analyzed. Also, system required Eb/N0 to meet BER=10-5 for multi user data communication is obtained according to each techniques. From the results, when each techniques is employed to DS/CDMA BRSK system. coding employed system shows better performance than diversity employed system. Especially, Golay code shows better performance than oter codes. also MRC diversity is employed, the number of multiple access user to meet data communication requirement of BER=10-5 can accomodate up to 8 users. and when each code is employed, Golay code, majority selection code, and Reed-Solomon code shows the capacity of 14, 12, and 10 user respectively. But MRC diversity combined with coding techniques can reduce restriction of multiple access user. However, it is desirable these combined technique are employed according to service types and requirements provided.

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Efficient secret sharing scheme with cheater identification based on QR code

  • Huang, Peng-Cheng;Chang, Chin-Chen;Li, Yung-Hui;Liu, Yanjun
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.13 no.10
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    • pp.5144-5160
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    • 2019
  • Secret sharing is an effective way of protecting secret messages. However, the traditional secret sharing schemes are considered meaningless due to malicious people attention which might raise risks. To overcome the weakness, this paper presents an effective secret sharing scheme with the functionality of cheater identification, based on meaningful QR code. The secret message will be split and concealed in the padding region of cover QR codes with the assistance of Latin square and it can be completely restored when all the involved participants cooperate. The concealing strategy exploits the characteristic of Reed-Solomon (RS) code to ensure the strong robustness of generated QR code pseudo-shares. The meaningful QR code pseudo-shares help to reduce the curious of unrelated persons. Some experiments were done to evaluate the performance of proposed scheme. The results showed that the proposed scheme is feasible, efficient and secure compared to the other existing schemes. It also achieves a higher secret payload and maintains stronger robustness.

Adaptive-and-Resolvable Fractional Repetition Codes Based on Hypergraph

  • Tiantian Wang;Jing Wang;Haipeng Wang;Jie Meng;Chunlei Yu;Shuxia Wang
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.17 no.4
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    • pp.1182-1199
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    • 2023
  • Fractional repetition (FR) codes can achieve exact uncoded repair for multiple failed nodes, with lower computational complexity and bandwidth overhead, and effectively improve repair performance in distributed storage systems (DSS). The actual distributed storage system is dynamic, that is, the parameters such as node storage overhead and number of storage nodes will change randomly and dynamically. Considering that traditional FR codes cannot be flexibly applied to dynamic distributed storage systems, a new construction scheme of adaptive-and-resolvable FR codes based on hypergraph coloring is proposed in this paper. Specifically, the linear uniform regular hypergraph can be constructed based on the heuristic algorithm of hypergraph coloring proposed in this paper. Then edges and vertices in hypergraph correspond to nodes and coded packets of FR codes respectively, further, FR codes is constructed. According to hypergraph coloring, the FR codes can achieve rapid repair for multiple failed nodes. Further, FR codes based on hypergraph coloring can be generalized to heterogeneous distributed storage systems. Compared with Reed-Solomon (RS) codes, simple regenerating codes (SRC) and locally repairable codes (LRC), adaptive-and-resolvable FR codes have significant advantages over repair locality, repair bandwidth overhead, computational complexity and time overhead during repairing failed nodes.