A.B. III Cooper, "Direct solution of BCH decoding equations", Comm., Cont. and Sign. Proc., p. 281--286, 1990. Home/Search Document Not in Database Summary Related Articles Check |
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Algebraic Description And Construction Of Error Correcting Codes.. - York (1997) (8 citations) (Correct)
....for the class of cyclic codes. From an algebraic viewpoint, cyclic codes have a very rich structure. Because of this, many elegant decoding procedures have been developed for codes in this class. Some of the classical ones are presented in [Ber68, Mas69, Pet60] Recently, several authors (e.g. [CRHT94a, CRHT94b, CI90, CI91, Fit95]) have applied the theory of Grobner bases to the problem of decoding cyclic codes. In [Fit95] the author uses the theory of Grobner bases to solve the key equation and presents a method for decoding with complexity equal to that of the Berlekamp Massey algorithm [BC96] In [CI90, CI91] the author ....
....CI90, CI91, Fit95] have applied the theory of Grobner bases to the problem of decoding cyclic codes. In [Fit95] the author uses the theory of Grobner bases to solve the key equation and presents a method for decoding with complexity equal to that of the Berlekamp Massey algorithm [BC96] In [CI90, CI91] the author presents a method for decoding cyclic codes up to their true distance. This method uses elimination theory and requires the computation of a Grobner basis for every non zero syndrome received. This is clearly undesirable given the fact that Grobner basis computation (via Buchberger s ....
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A.B. Cooper III. Direct solution of BCH decoding equations. Communication, Control and Signal Processing, pages 281--286, 1990.
General Error Locator Polynomials for Binary Cyclic Codes.. - Mora, Orsini, al. (2005) (Correct)
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A.B. III Cooper, "Direct solution of BCH decoding equations", Comm., Cont. and Sign. Proc., p. 281--286, 1990.
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