Details:
Title  A new algorithm for an $S$polynomial.  Author(s)  Jinwang Liu, Licui Zheng  Type  Article in Journal  Abstract  The authors study affine codes parametrised by monomials and their projective form. The main point is to compute the dimension, the length and the minimum distance of these codes using Gr\"{o}bner bases. It is shown that these basic parameters coincide for the affine and the projective form of such a code and that the first two parameters can be expressed in terms of the Hilbert function and the degree of the homogeneous vanishing ideal. In particular, the basic parameters are computed for the case that the code comes from an affine torus. Finally, the authors present an implementation of their results in Macaulay 2.  Keywords  Gröbner basis; GVW algorithm; Spolynomial  ISSN  10000577 
Language  English  Journal  J. Syst. Sci. Math. Sci.  Volume  32  Number  8  Pages  950956  Publisher  Science Press, Beijing  Year  2012  Edition  0  Translation 
No  Refereed 
No 
