• 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.

• The Journal of the Acoustical Society of Korea
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• v.27 no.6
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• pp.286-295
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• 2008

Underwater acoustic communication has multi path error because of reflection by sea-level and sea-bottom. The multipath of underwater channel causes signal distortion and error floor. In this paper, we consider the use of various channel coding schemes such as RS code, convolutional code, cross-layer code and LDPC code in order to compensate 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 little effect for error correcting. For correcting of error floor by multipath error, it is necessary strong channel codes like LDPC code that is similar to Shannon's limit. And the performance of concatenated codes including RS codes has better performance than using singular channel codes.

• Journal of the Korea Institute of Information Security & Cryptology
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• v.1 no.1
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• pp.66-78
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• 1991

In this paper, this paper, the stream cipher systems and the error propagation are analyzed. During the ciphertext transmission. for the error control of errors occurred in the channel, the DSEC(31, 27) RS codes will be used for bothe internal and external error controls for the self-synchromizing cipher system with ciphertext feedback.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2002.05a
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• pp.635-637
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• 2002

본 논문에서는 차세대이동통신에서 고속·고품질 전송을 실현하기 위해, 전송환경에 맞게 최적의 변조 다치 수를 선택하는 적응변조방식에 에러 정정 부호기법을 제안하였다. 고속ㆍ고품질화의 한 방법으로서, 에러 정정 부호를 적응한 시스템을 생각할 수 있는데, 본 논문에서 방식은 변조 파라미터가 변화하는 것에 의해 적응변조방식에 효과적인 BCH 부호 기법 및 RS 부호 기법을 적용한 경우의 전송 품질을 검토하였다.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.32 no.8C
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• pp.775-781
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• 2007

In this paper, a modified PTS(Partial Transmit Sequences) technique that uses erasure decoding of RS (Reed-Solomon) codes is presented. At the transmitter, some check symbols in a RS codeword partitioned into subblocks are phase-rotated by phase factors. The receiver decodes received codewords by regarding the phase-rotated check symbols as erasures. Hence, this technique does not need to transmit the side information about the phase factors chosen at the transmitter. The complexity of the receiver is also reduced since the estimation process for the phase factors is not required in the receiver. There is no performance degradation due to the transmission error of the side information or the estimation error of the phase factors. To evaluate the performance of the proposed PTS technique, the CCDF(Complementary Cumulative Distribution Function) of PAPR and the BER(Bit Error Rate) are compared with those of the conventional PTS techniques.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.31 no.8C
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• pp.763-770
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• 2006

In this paper, a variable Reed-Solomon(RS) decoder with erasure decoding functionality is designed based on the modified Euclid's algorithm(MEA). The variability of the decoder is implemented through shortening and puncturing based on the RS(124, 108, 8) code, other than the primitive RS(255, 239, 8) code. This leads to shortening the decoding latency. The decoder performs 4-step pipelined operation, where each step is designed to be clocked by an independent clock. Thus by using a faster clock for the MEA block, the complexity and the decoding latency can be reduced. It can support both continuous- and burst-mode decoding. It has been designed in VHDL and synthesized in an FPGA chip, consuming 3,717 logic cells and 2,048-bit memories. The maximum decoding throughput is 33 MByte/sec.

• The Transactions of the Korea Information Processing Society
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• v.2 no.1
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• pp.75-80
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• 1995

In this paper, we show that it is more efficient to use a new algorithm than to use a method of trace definition and property when we use trace calculation method on trinomial irreducible polynomial of reed-solomon code. This implementation has been done in SUN SPARC2 workstation using C-language.

• 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.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.13 no.5
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• pp.429-436
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• 1988

This paper presents a method of designing a Bit-Serial Reed-Solomon encoder using Berlekamp's Bit-Serial Multiplier Algorithm and the implementation of the (255, 223) Bit-Serial Reed-Solomon encoder using TTL logics. It is shown from these results that this encoder require substanitially less hardware than the convenional Reed-Solomon encoders.

• Journal of the Korean Institute of Telematics and Electronics C
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• v.36C no.3
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• pp.8-16
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• 1999

This paper describes a VLSI design of Reed-Solomon(RS) decoder using the modified Euclid algorithm, with the main theme focused on the $\textit{GF}(2^8)$. To get area-efficient design, a number of new architectures have been devised with maximal register and Euclidean ALU unit sharing. One ALU is shared to replace 18 ALUs which computes an error locator polynomial and an error evaluation polynomial. Also, 18 registers are shared to replace 24 registers which stores coefficients of those polynomials. The validity and efficiency of the proposed architecture have been verified by simulation and by FLEX$^TM$ FPGA implementation in hardware description language VHDL. The proposed Reed-Solomon decoder, which has the capability of decoding RS(208,192,17) and RS(182,172,11) for Digital Versatile Disc(DVD), has been designed by using O.6$\mu\textrm{m}$ CMOS TLM Compass$^TM$ technology library, which contains totally 17k gates with a core area of 2.299$\times$2.284 (5.25$\textrm{mm}^2$). The chip can run at 20MHz while the DVD requirement is 3.74MHz.