Asymptotics of the minimal distance of quadratic residue codes, 2004. ,
Algebraic decoding of the (32, 16, 8) quadratic residue code, IEEE Transactions on Information Theory, vol.36, issue.4, pp.876-880, 1990. ,
DOI : 10.1109/18.53750
Decoding the (24,12,8) Golay code, IEE Proceedings E Computers and Digital Techniques, vol.137, issue.3, pp.202-206, 1990. ,
DOI : 10.1049/ip-e.1990.0025
The algebraic decoding of the (41, 21, 9) quadratic residue code, IEEE Transactions on Information Theory, vol.38, issue.3, pp.974-986, 1992. ,
DOI : 10.1109/18.135639
Decoding the (73, 37, 13) quadratic residue code, IEE Proceedings - Computers and Digital Techniques, vol.141, issue.5, pp.253-258, 1994. ,
DOI : 10.1049/ip-cdt:19941294
Fast algorithms for decoding the (23, 12) binary Golay code with four-error-correcting capability, International Journal of Systems Science, vol.37, issue.4, pp.937-945, 1995. ,
DOI : 10.1109/18.54893
Decoding the (47,24,11) quadratic residue code, IEEE Transactions on Information Theory, vol.47, issue.3, pp.1181-1186, 2001. ,
Algebraic decoding of (71) quadratic residue codes, IEEE Transactions on Communications, vol.3679, issue.51 9, pp.1463-1473, 2003. ,
Algebraic Decoding of (103, 52, 19) and (113, 57, 15) Quadratic Residue Codes, IEEE Transactions on Communications, vol.53, issue.5, pp.749-754, 2005. ,
DOI : 10.1109/TCOMM.2005.847147
Direct solution of bch syndrome equations, Communications , Control, and Signal Processing, pp.281-286, 1990. ,
On the decoding of cyclic codes using Gröbner bases Applicable Algebra in Engineering, Communication and Computation, vol.8, issue.6, pp.469-483, 1997. ,
The Chen-Reed-Helleseth-Truong Decoding Algorithm and the Gianni-Kalkbrenner Gr??bner Shape Theorem, Applicable Algebra in Engineering, Communication and Computing, vol.13, issue.3, pp.209-232, 2002. ,
DOI : 10.1007/s002000200097
General principles for the algebraic decoding of cyclic codes, IEEE Transactions on Information Theory, vol.40, issue.5, pp.1661-1663, 1994. ,
DOI : 10.1109/18.333886
Algorithms and Computation in Mathematics Available: http://www.win.tue Efficient decoding of (binary) cyclic codes above the correction capacity of the code using Gröbner bases, Proceedings of the 2003 IEEE International Symposium on Information Theory, pp.260-275, 1999. ,
Cyclic decoding procedures for Bose- Chaudhuri-Hocquenghem codes, IEEE Transactions on Information Theory, vol.10, issue.4, pp.357-363, 1964. ,
DOI : 10.1109/TIT.1964.1053699
The Theory of Error-Correcting Codes, ser. North-Holland Mathematical Library, 1983. ,
Ideals, Varieties and Algorithms, 1992. ,
Description of Minimum Weight Codewords of Cyclic Codes by Algebraic Systems, Finite Fields and Their Applications, vol.2, issue.2, pp.138-152, 1996. ,
DOI : 10.1006/ffta.1996.0009
URL : https://hal.archives-ouvertes.fr/hal-00723500
Using Algebraic Geometry, ser. Graduate Texts in Mathematics, 2005. ,