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null In-Shek Hsu, I.S. Reed, T.K. Truong, null Ke Wang, null Chiunn-Shyong Yeh, L.J. Deutsch, "The VLSI Implementation of a Reed?Solomon Encoder Using Berlekamp's Bit-Serial Multiplier Algorithm," IEEE Transactions on Computers, vol. 33, no. 10, pp. 906-911, October, 1984.
 
 
BibTex
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@article{ 10.1109/TC.1984.1676351,
author = {null In-Shek Hsu and I.S. Reed and T.K. Truong and null Ke Wang and null Chiunn-Shyong Yeh and L.J. Deutsch},
title = {The VLSI Implementation of a Reed?Solomon Encoder Using Berlekamp's Bit-Serial Multiplier Algorithm},
journal ={IEEE Transactions on Computers},
volume = {33},
number = {10},
issn = {0018-9340},
year = {1984},
pages = {906-911},
doi = {http://doi.ieeecomputersociety.org/10.1109/TC.1984.1676351},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - JOUR
JO - IEEE Transactions on Computers
TI - The VLSI Implementation of a Reed?Solomon Encoder Using Berlekamp's Bit-Serial Multiplier Algorithm
IS - 10
SN - 0018-9340
SP906
EP911
EPD - 906-911
A1 - null In-Shek Hsu,
A1 - I.S. Reed,
A1 - T.K. Truong,
A1 - null Ke Wang,
A1 - null Chiunn-Shyong Yeh,
A1 - L.J. Deutsch,
PY - 1984
KW - VLSI
KW - Berlekamp's bit-serial multiplier
KW - dual basis
KW - Reed-Solomon code
KW - trace
VL - 33
JA - IEEE Transactions on Computers
ER -
 
null In-Shek Hsu, Department of Electrical Engineering, University of Southern California
Berlekamp has developed for the California Institute of Technology Jet Propulsion Laboratory (JPL) a bit-serial multiplication algorithm for the encoding of Reed-Solomon (RS) codes, using a dual basis over a Galois field. The conventional RS encoder for long codes often requires lookup tables to perform multiplication of two field elements. Berlekamp's algorithm requires only shifting and EXCLUSIVE OR operations. It is shown in this paper that the new dual-basis (255,223) RS encoder can be realized readily on a single VLSI chip with NMOS technology.
Index Terms:
VLSI, Berlekamp's bit-serial multiplier, dual basis, Reed-Solomon code, trace
Citation:
null In-Shek Hsu, I.S. Reed, T.K. Truong, null Ke Wang, null Chiunn-Shyong Yeh, L.J. Deutsch, "The VLSI Implementation of a Reed?Solomon Encoder Using Berlekamp's Bit-Serial Multiplier Algorithm," IEEE Transactions on Computers, vol. 33, no. 10, pp. 906-911, Oct. 1984, doi:10.1109/TC.1984.1676351
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