DocumentCode :
923004
Title :
The algebraic decoding of Goppa codes
Author :
Patterson, N.J.
Volume :
21
Issue :
2
fYear :
1975
fDate :
3/1/1975 12:00:00 AM
Firstpage :
203
Lastpage :
207
Abstract :
An interesting class of linear error-correcting codes has been found by Goppa [3], [4]. This paper presents algebraic decoding algorithms for the Goppa codes. These algorithms are only a little more complex than Berlekamp´s well-known algorithm for BCH codes and, in fact, make essential use of his procedure. Hence the cost of decoding a Goppa code is similar to the cost of decoding a BCH code of comparable block length.
Keywords :
Decoding; Goppa codes; Art; Costs; Decoding; Electrons; Electrostatic precipitators; Galois fields; Information theory; Polynomials; Probability distribution; Reliability theory;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1975.1055350
Filename :
1055350
Link To Document :
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