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Abstract: We show that a recently proposed algorithm ([9]) for decoding cyclic codes may be applied e#ciently to all binary cyclic codes with t and n 63. Keywords: Grobner bases, cyclic codes, decoding procedure. 1 (Update)
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1.2: Correcting Errors And Erasures Via The Syndrome Variety - Orsini, Sala (2003) (Correct)
0.7: Algebraic Description And Construction Of Error Correcting Codes.. - York (1997) (Correct)
0.5: On the Groebner bases of some symmetric systems and their.. - Mora, Sala (2003) (Correct)
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BibTeX entry: (Update)
@misc{ mora-general,
author = "Teo Mora and Emmanuela Orsini and et al.",
title = "General Error Locator Polynomials for Binary Cyclic Codes With T ≤ 2
and N < 63",
url = "citeseer.ist.psu.edu/mora05general.html" }
Citations (may not include all citations):860 The Theory of Error-Correcting Codes (context) - MacWilliams, Sloane - 1977
167 Error Correcting Codes (context) - Peterson, Weldon - 1972
14 the Key Equation (context) - Fitzpatrick - 1995
7 Use of Grobner Bases to Decode Binary Cyclic Codes up to the.. (context) - Chen, Reed et al. - 1994
3 The Chen-Reed-Helleseth-Truong Decoding Algorithm and the Gi.. - Caboara, Mora - 2002
3 Long BCH codes are bad (context) - Lin, Weldon - 1967
2 the Groebner bases for some symmetric systems and their appl.. - Mora, Sala - 2003
2 Direct solution of BCH decoding equations (context) - Cooper - 1990
1 Grobner bases and distance of cyclic codes (context) - Sala - 2002
1 Correcting errors and erasures via the syndrome variety - Orsini, Sala
1 Finding BCH error locator polynomials in one step (context) - Cooper - 2090
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