[[1] W. W. Adams and P. Loustaunau, An Introduction to Gröbner Bases (GSM 3, American Mathematical Society, 1994).10.1090/gsm/003]Search in Google Scholar
[[2] P. Delsarte, J. M. Goethals and F. J. MacWilliams, On generalized Reed- Muller codes and their relatives, Information and Control 16 (1970) 403-442.10.1016/S0019-9958(70)90214-7]Search in Google Scholar
[[3] I. M. Duursma, C. Rentería and H. Tapia-Recillas, Reed-Muller codes on complete intersections, Appl. Algebra Engrg. Comm. Comput. 11 (6) (2001) 455-462.10.1007/s002000000047]Search in Google Scholar
[[4] D. Eisenbud, The geometry of syzygies: A second course in commutative algebra and algebraic geometry (Graduate Texts in Mathematics, 229, Springer-Verlag, New York, 2005).]Search in Google Scholar
[[5] L. Gold, J. Little and H. Schenck, Cayley-Bacharach and evaluation codes on complete intersections, J. Pure Appl. Algebra 196 (1) (2005) 91-99.10.1016/j.jpaa.2004.08.015]Search in Google Scholar
[[6] M. González-Sarabia and C. Rentería, Evaluation codes associated to complete bipartite graphs, Int. J. Algebra 2 (2008) 163-170.]Search in Google Scholar
[[7] M. González-Sarabia and C. Rentería, Evaluation Codes Associated to some Matrices, Int. J. Contemp. Math. Sci. 2 (13) (2007) 615-625.10.12988/ijcms.2007.07060]Search in Google Scholar
[[8] M. González-Sarabia, C. Rentería and M. Hernández de la Torre, Minimum distance and second generalized Hamming weight of two particular linear codes, Congr. Numer. 161 (2003) 105-116.]Search in Google Scholar
[[9] M. González-Sarabia, C. Rentería and H. Tapia-Recillas, Reed-Mullertype codes over the Segre variety, Finite Fields Appl. 8 (4) (2002) 511-518.10.1006/ffta.2002.0360]Search in Google Scholar
[[10] D. Grayson and M. Stillman, Macaulay2, Available via anonymous ftp from www.math.uiuc.edu, 1996.]Search in Google Scholar
[[11] J. Hansen, Toric surfaces and error-correcting codes, Coding theory, Criptography and related areas (2000) 132-142.10.1007/978-3-642-57189-3_12]Search in Google Scholar
[[12] J. Harris, Algebraic Geometry. A first course (Graduate Texts in Mathematics 133, Springer-Verlag, New York, 1992).10.1007/978-1-4757-2189-8_11]Search in Google Scholar
[[13] D. Joyner, Toric codes over finite fields, Appl. Algebra Engrg. Comm. Comput. 15 (2004) 63-79.10.1007/s00200-004-0152-x]Search in Google Scholar
[[14] F.J. MacWilliams and N.J.A. Sloane, The Theory of Error-correcting Codes (North-Holland, 1977).]Search in Google Scholar
[[15] J. Neves, M. Vaz Pinto, R.H. Villarreal, Vanishing ideals over graphs and even cycles, To appear in Comm. Algebra. (2011) arXiv:1111.6278[pdf, ps, other].]Search in Google Scholar
[[16] C. Rentería, A. Simis and R. H. Villarreal, Algebraic methods for parameterized codes and invariants of vanishing ideals over finite fields, Finite Fields Appl.17 (2011) 81-104.10.1016/j.ffa.2010.09.007]Search in Google Scholar
[[17] E. Reyes, R. H. Villarreal and L. Zárate, A note on afine toric varieties, Linear Algebra Appl. 318 (2000) 173-179.10.1016/S0024-3795(00)00166-X]Search in Google Scholar
[[18] E. Sarmiento, M. Vaz Pinto and R. H. Villarreal, The minimum distance of parameterized codes on projective tori, Appl. Algebra Engrg. Comm. Comput. 22 (4) (2011) 249-264.10.1007/s00200-011-0148-2]Search in Google Scholar
[[19] I. Soprunov, J. Soprunova, Bringing toric codes to the next dimension, SIAM J. Discrete Math. 24 (1) (2010) 655-665.10.1137/090762592]Search in Google Scholar
[[20] A. Sfirensen, Projective Reed-Muller codes, IEEE Trans. Inform. Theory 37 (6) (1991) 1567-1576.10.1109/18.104317]Search in Google Scholar
[[21] R. Stanley, Hilbert functions of graded algebras, Adv. Math. 28 (1978) 57-83.10.1016/0001-8708(78)90045-2]Search in Google Scholar
[[22] H. Stichtenoth, Algebraic function fields and codes (Universitext, Springer- Verlag, Berlin, 1993).]Search in Google Scholar
[[23] S. Toháneanu, Lower bounds on minimal distance of evaluation codes, Appl. Algebra Engrg. Comm. Comput. 20 (5-6) (2009) 351-360.10.1007/s00200-009-0102-8]Search in Google Scholar
[[24] M. Tsfasman, S. Vladut and D. Nogin, Algebraic geometric codes: basic notions (Mathematical Surveys and Monographs 139, American Mathematical Society, Providence, RI, 2007).10.1090/surv/139]Search in Google Scholar
[[25] R. H. Villarreal, Monomial Algebras (Monographs and Textbooks in Pure and Applied Mathematics 238, Marcel Dekker, New York, 2001).10.1201/9780824746193]Search in Google Scholar