Title :
The VLSI Implementation of a Reed—Solomon Encoder Using Berlekamp´s Bit-Serial Multiplier Algorithm
Author :
Hsu, In-shek ; Reed, Irving S. ; Truong, T.K. ; Wang, Ke ; Yeh, Chiunn-shyong ; Deutsch, Leslie J.
Author_Institution :
Department of Electrical Engineering, University of Southern California
Abstract :
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.
Keywords :
Berlekamp´s bit-serial multiplier; Reed-Solomon code; VLSI; dual basis; trace; Computer errors; Error correction codes; Galois fields; Laboratories; MOS devices; Polynomials; Propulsion; Reed-Solomon codes; Table lookup; Very large scale integration; Berlekamp´s bit-serial multiplier; Reed-Solomon code; VLSI; dual basis; trace;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/TC.1984.1676351
