• Journal of the Institute of Electronics Engineers of Korea TC
• /
• v.42 no.11
• /
• pp.13-20
• /
• 2005

For Modern Consumer and Communication Elecronic Devices, Always Error Protecting HW and SW is used. The Core is RS(Reed Solomon) Codec in Galois Field GF($2^8$). Here New 2 to 3 Symbol RS Decoder Design and Encoder design Method using Normalized error position Value is described. Examples are given to show the methods are working well.

• Journal of the Korea Institute of Information Security & Cryptology
• /
• v.7 no.4
• /
• pp.133-140
• /
• 1997

본 논문에서는 Reed-Solomon부호의 복호에서 오류위치를 찾는 방법을 제안하고 그 회로를 설계한다. 제안된 오류위치 탐지법을 사용하면, Reed-Solomon복호에서 가장 복잡하고 지연이 많이 걸리는 역원기를 생략할 수 있다. 따라서 기존의 복호기보다 훨씬 간단하고 고속으로 동작하는 Reed-Solomon복호기를 설계할 수 있다.

• ETRI Journal
• /
• v.25 no.5
• /
• pp.305-314
• /
• 2003

In this paper, we present a soft IP compiler for the Reed-Solomon decoder that generates a fully synthesizable VHDL core exploiting characteristic parameters and design constraints that we newly classify for the soft IP. It produces a structural design with an estimable regular architecture based on a finite state machine with a datapath (FSMD). Since characteristic parameters provide different design points on the design space, using one of two simple procedures called the constructive search with area increment (CSAI) and constructive search with speed decrement (CSSD) for design space exploration, the core compiler makes it possible for an IP user to create the Reed-Solomon decoder with appropriate sub-architectures without synthesizing many models. Experimental results show that the IP compiler can apply to several industry standards.

• Journal of the Semiconductor & Display Technology
• /
• v.13 no.4
• /
• pp.7-13
• /
• 2014

In this paper, an area-efficient degree-computationless modified Euclidean (DCME) algorithm is presented and implemented for high-speed Reed-Solomon (RS) decoder. The DCME algorithm can be used to solve the key equation in Reed-Solomon decoder to get the error location polynomial and the error value polynomial. A pipelined recursive structure is adopted for reducing the area of key equation solver (KES) block with sacrifice of an amount of decoding latency. For comparisons, KES block for RS(255,239,8) decoder with the proposed architecture is implemented using Verilog HDL and synthesized using Synopsys design tool and 65nm CMOS technology. The synthesis results show that the proposed architecture can be implemented with less gate counts than other existing DCME architectures.

• Proceedings of the IEEK Conference
• /
• 1998.06a
• /
• pp.15-18
• /
• 1998

본 논문에서는 광대역 CDMA용으로 제안되고 있는 유한체 GF(28) 상의 3중 오류정정 (47, 41) Reed-Solomon 복호기를 설계하였다. 복호법으로는 오류정정 능력이 비교적 작은 경우 매우 효율적인 직접복호법을 이용하였다. 설계된 복호기는 복호지연이 매우 짧으며 기존의 복호기보다 훨씬 간단한 하드웨어로 구현할 수 있는 장점을 가지고 있다.

• The Journal of Korean Institute of Communications and Information Sciences
• /
• v.36 no.11C
• /
• pp.649-654
• /
• 2011

In this paper, we show new method to find number of errors in the Reed-Solomon decoder. New design is much faster and has much simpler logic circuit than the former design method. This optimization was possible by very simplified square calculating circuit and parallel processing. The microcontroller of this Reed Solomon decoder can be used for data protection of almost all digital communication and consumer electronic devices.

• Proceedings of the IEEK Conference
• /
• 2000.06b
• /
• pp.262-265
• /
• 2000

This paper describes design of a (32, 28) Reed Solomon decoder for optical compact disk provides double error detecting and correcting capability. The most complex circuit in the RS decoder is part for solving the error location numbers from error location polynomial, and the circuit has great influence on overall decoder complexity. We use RAM based architecture with Euclid algorithm, Chien search algorithm and Forney algorithm. We have developed VHDL model and Performed logic synthesis using the SYNOPSYS CAD tool. Then, the RS decoder has been implemented with FPGA. The total umber of gate is about 11,000 gates and it operates at 20MHz.

• The Journal of Korean Institute of Communications and Information Sciences
• /
• v.31 no.1C
• /
• pp.8-13
• /
• 2006

A new RS(Reed Solomon) Decoder design method, using Galois Subfield GF($2^4$) Multiplier, is described. The Decoder is designed using Normalized error position stored ROM. Here New Inverse Calculator in GF($2^8$) is designed, which is simpler and faster than the classical GF($2^8$) direct inverse calculator, using the Galois Subfield GF($2^4$) Arithmatic operator.

• Proceedings of the IEEK Conference
• /
• 1999.06a
• /
• pp.938-941
• /
• 1999

In this paper, we designed a pipeline (15,9) Reed-solomon decoder. To compute the error locator polynomials, we used the Euclidean algorithm. This algorithm includes computation of inverse element. We avoided the inverse element calculation in this RS decoder by using ROMs. We designed this decoder using VHDL. Simulation results show that the designed decoder corrects three error symbols. We implemented this design through an Altera FPGA chip.

• The Journal of Korean Institute of Communications and Information Sciences
• /
• v.35 no.6B
• /
• pp.984-990
• /
• 2010

In Current Digital $C^3$ Devices(Communication, Computer, Consumer electronic devices), Reed-Solomon encoder is essentially used. For example we should use RS encoder in DSP LSI of CDMA Mobile and Base station modem, in controller LSI of DVD Recorder and that of computer memory(HDD or SSD memory). In this paper, we propose new economical multiplierless (also without divider) RS encoder design method. The encoder has Arbitrary parity positions.