On computing the syndrome polynomial in Reed-Solomon decoder

被引:24
作者
Costa, E
Fedorenko, SV
Trifonov, PV
机构
[1] St Petersburg State Polytech Univ, Dept Distributes Comp & Networking, St Petersburg 194021, Russia
[2] Siemens AG, D-8000 Munich, Germany
来源
EUROPEAN TRANSACTIONS ON TELECOMMUNICATIONS | 2004年 / 15卷 / 04期
关键词
D O I
10.1002/ett.982
中图分类号
TN [电子技术、通信技术];
学科分类号
0809 ;
摘要
Application of the cyclotomic fast Fourier transform (FFT) algorithm to the syndrome evaluation problem in classical Reed-Solomon decoders is described. A number of complexity reduction tricks is suggested. Application of the algorithm leads to significant reductions in the complexity of syndrome evaluation. Moreover, automatic generation of the program code implementing the described algorithm is possible. Copyright (C) 2004 AEI.
引用
收藏
页码:337 / 342
页数:6
相关论文
共 10 条
[1]  
Aho A., 1976, DESIGN ANAL COMPUTER
[2]  
[Anonymous], 1973, ART COMPUTER PROGRAM
[3]  
Berlekamp E. R., 1968, ALGEBRAIC CODING THE
[4]  
BLAHUT RE, 1984, THEORY PRACTICE ERRO
[5]   IEEE Standard 802.16:: A technical overview of the WirelessMAN™ air interface for broadband wireless access [J].
Eklund, C ;
Marks, RB ;
Stanwood, KL ;
Wang, S .
IEEE COMMUNICATIONS MAGAZINE, 2002, 40 (06) :98-107
[6]   COMPUTING-M DFTS OVER GF(Q) WITH ONE DFT OVER GF(QM) [J].
HONG, J ;
VETTERLI, M .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1993, 39 (01) :271-274
[7]  
LIPNITSKY VA, 2002, SIBERIAN J IND MATH, V5, P131
[8]   A Method for Fast Computation of the Fourier Transform over a Finite Field [J].
Trifonov, P. V. ;
Fedorenko, S. V. .
PROBLEMS OF INFORMATION TRANSMISSION, 2003, 39 (03) :231-238
[9]  
Zakharova T. G., 1992, Problems of Information Transmission, V28, P154
[10]  
ZAKHAROVA TG, 1996, RADIOTECHNICS, V20, P55