• Title/Summary/Keyword: Reed-Solomon(RS) codes

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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.

A FEC Code for Improving the WDM/SCM-PON Performance (WDM/SCM-PON의 성능 향상을 위한 FEC Code)

  • Seol, Dong-Min;Lee, Chul-Soo;Jang, Seung-Hyun;Jung, Eui-Suk;Kim, Byoung-Whi
    • Proceedings of the KIEE Conference
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    • 2005.10b
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    • pp.406-408
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    • 2005
  • A passive Optical Network (PON) is famous for the most cost-efficient solution among the optical networks. This is because there is no active device between a central office and subscribers. A wavelength division multiplexing (WDM) offers each subscriber to feel unlimited bandwidth. A WDM-PON, however, has a cost problem that WDM-PON is used commercially. To solve this trouble, it is surveyed that a Sub-Carrier Multiplexing (SCM) used in a WDM-PON increases the number of subscribers. The performance of WDM/SCM-PON varies with various noises. The several FEC Codes can reduce the effects of noise and improve the performance of the system. Thus, Choosing a suitable FEC code is important work. This paper describes that a Reed-Solomon (RS) code is the most suitable code for WDM/SCM-PON at the object of 100 Mbps and $10^{-9}$ BER

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A Performance Analysis of FEC Coding Method in Rayleigh Satellite Return Link Channel (레일리 위성 리턴링크 채널에서 FEC 부호 방식 성능분석)

  • Lee Seong Ro;Cho Sung Eui;Oh Deock gil
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.29 no.12C
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    • pp.1633-1641
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    • 2004
  • In satellite digital broadcasting and satellite internet, severe burst errors occur in the high-speed return channel from the satellite to mobiles. In this paper, we analyze the performance of the forward error correction (FEC) coding method in the Rayleigh fading return channel. We first investigate the channel model of Loo, LutB, Vucetic and Corazza. We then compare the performance of the convolutional, Reed-Solomon (RS), convolution-RS concatenation, and Turbo codes in rayleigh fading channel.

Performance Analysis of Interleaved Short Length Codes over Burst Erasure Channel (군집 소실 채널 상에서의 인터리빙된 짧은 코드의 성능 분석)

  • Jang, Jae-Yoon;Jang, Min;Kim, Sang-Hyo;Lee, Sung-Jun
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2009.11a
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    • pp.281-283
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    • 2009
  • 본 논문에서는 군집 소실 채널 상에서 동작할 수 있는 짧은 길이의 인터리빙 된 코드들의 성능을 분석한다. 먼저 좋은 성능을 갖는 짧은 길이의 그래프 부호와 해밍부호를 설계한다. 이 후 군집 소실에 잘 대응하기 위하여 인터리빙 기능을 채널 부호화 방법에 적용한다. 생성된 짧은 코드에 적용한 인터리빙 부호를 군집 소실에 최적의 성능을 보이는 Reed-Solomon (RS) 부호와 성능을 비교한다. 짧은 길이의 부호이므로, ML(Maximum Likelihood)방법과 BP(Belief propagation)의 두 가지 복호 방법들을 이용한 경우 성능의 차이 또한 비교해 본다.

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Efficient Cooperative Transmission Scheme for High Speed WPAN System in 60GHz (60GHz WPAN 시스템의 전송 효율 향상을 위한 협력 통신 기법)

  • Lee, Won-Jin;Lee, Jae-Young;Suh, Young-Kil;Heo, Jun
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.35 no.3C
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    • pp.255-263
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    • 2010
  • In this paper, we present an efficient cooperative transmission scheme for high speed 60GHz WPAN system. In 60GHz, the cooperative transmission with relay is effective scheme because signals are exceedingly attenuated according to the distance and the transmission is impossible when there is no LOS between transmitter and receiver. Moreover, the reliability of signal in destination can be improved by receiving data from a relay as well as a transmitter. However, the overall data rate is reduced because transmission time is more required for relay. To solve this problem, we propose a cooperative transmission scheme with RS-CC serial concatenated codes. In the proposed cooperative transmission scheme, the relay can reduce the transmission data size because the only parity bits of systematic RS code are transmitted after encoding by CC. But the computational complexity is increased at the relay and the destination.

Performance Improvement of 3D HDTV Transmission with Block LDPC Codes (블록 LDPC 부호를 사용한 3D HDTV 전송을 위한 성능개선 방안에 관한 연구)

  • Kim, Minki;Kim, Dongho
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2012.07a
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    • pp.134-137
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    • 2012
  • 최근 ATSC방식의 디지털 방송에서 HD급의 3D 방송 서비스에 대한 관심이 증가 되고 있는 추세이다. HD급의 3D 방송 서비스(이하 3D HDTV)를 제공하기 위해 [2]에서는 ATSC 전송 시스템을 확장하고 BCH 부호와 IRA 타입의 LDPC를 사용하는 수정된 ATSC 전송 시스템을 제안하였다. 본 논문에서는 BCH와 IRA 타입의 LDPC 부호 대신 Reed Solomon 부호와 Block LDPC 부호를 사용하고 16QAM 변조를 사용하여 전송 용량을 증대할 수 있다는 사실을 확인하였다. AWGN 채널에서 모의 실험한 결과 BCH부호와 LDPC부호 및 4PAM을 적용한 수정된 ATSC 전송시스템의 TOV는 약 7dB로 19.33Mbps로 전송되지만[2] 본 논문에서 제안한 RS(207, 187)과 부호율 3/4인 Block LDPC 및 16QAM의 TOV는 약 5.4dB로 29Mbps로 전송되어 기존시스템에 비해 약1.5배의 전송 용량 증대가 가능한 것으로 확인되었다. 이로서 6MHz의 한정된 대역에서 HD급의 3D 방송서비스 실현이 한층 더 가까워지게 될 것으로 예상된다.

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Design of an Adaptive Reed-Solomon Decoder with Varying Block Length (가변 블록길이를 갖는 적응형 리드솔로몬 복호기의 설계)

  • Song, Moon-Kyou;Kong, Min-Han
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.4C
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    • pp.365-373
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    • 2003
  • In this paper, we design a versatle RS decoder which can decode RS codes of any block length n as well as any message length k, based on a modified Euclid's algorithm (MEA). This unique feature is favorable for a shortened RS code of any block length it eliminates the need to insert zeros before decoding a shortened RS code. Furthermore, the value of error correcting capability t can be changed in real time at every codeword block. Thus, when a return channel is available, the error correcting capability can be adaptiverly altered according to channel state. The decoder permits 4-step pipelined processing : (1) syndrome calculation (2) MEA block (3) error magnitude calculation (4) decoder failure check. Each step is designed to form a structure suitable for decoding a RS code with varying block length. A new architecture is proposed for a MEA block in step (2) and an architecture of outputting in reversed order is employed for a polynomial evaluation in step (3). To maintain to throughput rate with less circuitry, the MEA block uses not only a multiplexing and recursive technique but also an overclocking technique. The adaptive RS decoder over GF($2^8$) with the maximal error correcting capability of 10 has been designed in VHDL, and successfully synthesized in a FPGA.

Performance of 3D HDTV Transmission with Block LDPC Codes (블록 LDPC 부호를 사용한 3D HDTV 전송 성능개선 방안 연구)

  • Kim, Min-Ki;Kim, Dong Ho
    • Journal of Satellite, Information and Communications
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    • v.8 no.4
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    • pp.21-25
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    • 2013
  • The dual-stream based stereoscopic 3D HDTV broadcasting service was launched recently. Although the dual-stream based HDTV service has been successfully provided, the 3D HDTV broadcasting system requires more bandwidth efficient transmission schemes because it should convey both left and right HD resolution images simultaneously in the finite 6MHz bandwidth. In this paper, we consider more advanced ATSC transmission schemes that use higher modulation such as 16-QAM and concatenated RS code and block LDPC codes. Compared with conventional ATSC system and the modified ATSC system in [2], the proposed system has about 2.97dB and 1.12dB SNR gain at the payload data rate of 19.44Mbps compared with the existing ATSC system and the modified ATSC system [2]. Also, the proposed scheme requires only 1.05dB power increase for the 3D HDTV service, which is reasonable SNR increase value and applicable to the advanced 3D high definition broadcasting realization in limited 6MHz bandwidth.