• Journal of the Institute of Electronics Engineers of Korea TC
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• v.49 no.5
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• pp.15-20
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• 2012

In this paper, we show new method to find the error locations of received Reed-Solomon code word. New design is much faster and has much simpler logic circuit than the former design method. This optimization was possible by very simplified square/$X^4$ calculating circuit, parallel processing and not using the very complex Divider. The Reed Solomon decoder using this new Chien Machine can be applicated for data protection of almost all digital communication and consumer electronic devices.

• Proceedings of the IEEK Conference
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• 2003.07a
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• pp.549-552
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• 2003

In this paper, an efficient architecture of a versatile Reed-Solomon (RS) decoder is designed, where the message length k as well as the block length n can be variable. The decoder permits 3-step pipelined processing based on the modified Euclid's algorithm(MEA). A new architecture for the MEA is designed for variable values of error correcting capability t. To maintain the throughput rate with less circuitry, the MEA block uses both the recursive and the overclocking technique. The decoder can decode a codeword received not only in a burst mode, but also in a continuous mode. It can be used in a wide range of applications due to its versatility. A versatile RS decoder over GF(2$^{8}$ ) having the error-correcting capability of up to 10 has been designed in VHDL, and successfully synthesized in an FPGA chip.

• Journal of the Institute of Electronics Engineers of Korea TC
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• v.44 no.3 s.357
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• pp.61-67
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• 2007

In Reed Solomon decoder, when there are more than 4 error symbols, we usually use Chien search machine to find those error positions. In this case, classical method requires complex and relatively slow digital circuitry to implement it. In this paper we propose New fast and cost effective Chien search machine design method using Galois Subfield transformation. Example is given to show the method is working well. This new design can be applied to the case where there are more than 5 symbol errors in the Reed-Solomon code word.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.23 no.6
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• pp.1575-1582
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• 1998

Reed-Solomon(RS) code which is especially effective against burst error is studied as a forward error correction technique in this ppaer. The circuits of RS encoder and decoder for ASIC implementation are designed and presented employing modified Euclid's algorithm. The functionalities of the designed circuits are verified though C programs which simulates the circuits over the various errors and erasures. The pipelined circuits using systolic arrays are designed for ASIC realization in VHDL, and verified through the logic simulations. Finally the circuit synthesis of RS encoder and decoder can be achieved.

• Journal of Industrial Technology
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• v.25 no.B
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• pp.171-174
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• 2005

In this paper, we propose a new data encoding algorithm for a two-dimensional bar code system. In general, the one-dimensional bar code is just a key which can access detailed information to the host computer database. But the two-dimensional bar code is a new technology which can obtain high density information without access to the host computer database. We implemented the encoding algorithm for Data Matrix bar code which is the most widely used among the many kinds of two-dimensional bar codes in the field of marking using Digital Signal Processor (TMS320C31). The performance of the proposed algorithm is verified by comparing the imprinted symbols on the steel surfaces with the codes which are decoded by a bar code reader.

• Proceedings of the IEEK Conference
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• 1998.10a
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• pp.679-682
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• 1998

This paper presents the VLSI implementation of RS(reed-solomon) decoder using the Modified Euclidean Algorithm(hereafter MEA) for DVD(Digital Versatile Disc) and CD(Compact Disc). The decoder has a capability of correcting 8-error or 16-erasure for DVD and 2-error or 4-erasure for CD. The technique of polynomial evaluation is introduced to realize syndrome calculation and a polynomial expansion circuit is developed to calculate the Forney syndrome polynomial and the erasure locator polynomial. Due to the property of our system with buffer memory, the MEA architecture can have a recursive structure which the number of basic operating cells can be reduced to one. We also proposed five criteria to determine an uncorrectable codeword in using the MEA. The overall architecture is a simple and regular and has a 4-stage pipelined structure.

• Journal of the Korean Institute of Telematics and Electronics C
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• v.34C no.11
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• pp.39-46
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• 1997

In this paper, we propose an area-efficient architecture of a reed-solomon (RS) decoder/encoder for digital VCRs. The new architecture of the decoder/encoder targeted to reduce the circit size and decoding latency has the following two features. First, area-efficeincy has been significantly improved by sharing a functional block for encoding, modified syndrome computation, and erasure locator polynomial evaluation. Second, modified euclid's algorithms has been implemented by using a new architecture. Experimental results have showed that the decoder/encoder designed by using the proposed method has been implemented with 25% smaller sie over straight forware implementation based on the conventional method [1] and the decoding latency has been reduced.

• 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.

• Proceedings of the Korea Information Processing Society Conference
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• 2011.04a
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• pp.629-630
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• 2011

본 논문은 무선 스피커 시스템을 위한 MB-OFDM UWB 모뎀 설계에 관한 것이다. 기존의 MBOFDM UWB 기술은 근거리에서 고속의 영상 데이터를 전송하는 목적으로 개발되었으나, 기존 기술의 전송거리를 개선을 통하여 실내에서 사용되는 무선 스피커에 적용할 수 있는 무선 스피커 시스템을 위한 MB-OFDM UWB 기술을 제안한다. 본 제안기술에는 기존 규격에는 없었던 리드 솔로몬 기술을 적용하여 수신감도를 개선하여 최고 2dB의 SNR 이득을 얻게 되어 기존대비 최고 26%의 전송거리 증대를 이루었다.

• Proceedings of the Korea Information Processing Society Conference
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• 2023.11a
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• pp.250-251
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• 2023

블록체인 원장의 용량이 폭증하면서 여러 확장성 문제들이 나타나고 있다. 이에 대한 해결 방법으로 원장에 Reed-Solomon 부호화를 적용하여 용량을 줄이려는 연구가 일부 진행 중이나, 피어에 장애가 발생하거나 악의적 행동이 있다면, 데이터 손실을 막기 위한 복구 과정이 필수적이다. 본 논문에서는 원장에 Reed-Solomon 부호화를 적용해 얻는 저장 공간의 감소 효과에 비해서 데이터를 복구할 시 어느 정도의 오버헤드가 발생하는지 성능 평가를 수행했다. 결과적으로, 많은 블록 복구가 필요한 상황에서 인코딩/디코딩 시간은 미미하였고, 대부분의 오버헤드는 청크 재전송 시간이었다.