References
- Assmus , E.F. and Key , J.D. 1992 . Designs and their codes Cambridge, U.P.
- Cooper , A.Brinton . 1992 . “ Toward a new method of decoding algebraic codes using Gröbner bases ” . In Trans. 10th Army Conf. on Applied Mathematics and Computing 1 – 11 . West Point, N.Y. U.S. Army Res. Office, Research Triangle Park, NC., (1988)
- Bruns , W. and Vetter , U. 1988 . “ Lecture Notes in Mathematics ” . In Determinantal rings , Springer‐Verlag .
- Cox , D. , Little , J. and O' Shea , D. 1992 . Ideals, Varieties, and Algorithms , Springer Verlag : UTM .
- Chen , X. , Reed , I.S. , Helleseth , T. and Truong , T.K. 1994 . Use of Gröbner bases to decode binary cyclic codes up to the true minimal distance . IEEE Trans. Inf. Theory , 40 ( 5 ) : 1654 – 1660 .
- Davis , E. D. , Geramita , A. V. and Orecchia , F. 1985 . Gorenstein algebras and the Cayley‐Bacharach theorem . AMS Proc , 93 ( 5 ) : 593 – 597 .
- Heegard , C. , Little , J. and Saints , K. 1995 . Systematic encoding via Gröbner bases for a class of algebraic-geometric codes . IEEE Trans, on Inf. Theory , 41 ( 6 ) : 1752 – 1761 .
- Delsarte , P. , Goethals , J. M. and Mac Williams , F. J. 1970 . On generalized Reed‐ Muller codes and their relatives . Inform, and Control , 16 ( 6 ) : 403 – 422 .
- Geramita , A. V. , Kreuzer , M. and Robbiano , L. 1993 . Cayley‐Bacharach schemes and their canonical modules . Transactions of the AMS , 339 ( 1 ) 09 : 163 – 189 .
- Goto , S. and Watanabe , K. 1978 . On graded rings , Vol. 30 , 179 – 213 . Japan : I. J. Math. Soc. .
- Hansen , J. P. 1994 . “ Zero‐dimensional schemes ” . In Proc. Int. Conf., Ravello, 1992 Edited by: Orrechia , F. and Chiantini , L. Berlin Walter de Gruyter
- Lachaud , G. 1990 . The parameters of the projective Reed‐Muller codes . Discrete Mathematics , 81 : 217 – 221 .
- Rentería , C. and Tapia‐ Recillas , H. 1996 . Linear codes associated to the ideal of points in pd and its canonical module . Communications in Algebra , 24 ( 3 ) : 1083 – 1090 .
- Rentería , C. and Tapia‐ Recillas , H. 1996 . On a bound for the number of errors of a class of AG codes . Numerantium , 1 ( 3 ) : 118 – 122 .
- Sörensen , A. B. 1994 . On the number of rational points on codimension‐1 algebraic sets in Pn(Fq) . Discrete Mathematics , 135 ( 3 ) : 321 – 334 .
- Sörensen , A. B. 1991 . Projective Reed‐Muller codes . IEEE Trans, on Inf. Theory , 37 ( 6 ) 11 : 1567 – 1576 .