Vanishing Ideals of Projective Spaces over Finite Fields and a Projective Footprint Bound

Author:

Beelen Peter,Datta Mrinmoy,Ghorpade Sudhir R.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics

Reference24 articles.

1. Becker, T., Weispfenning, V.: Gröbner Bases: A Computational Approach to Commutative Algebra, Springer–Verlag, Berlin, 1998

2. Beelen, P., Ghorpade, S. R., Høholdt, T.: Duals of affine Grassmann codes and their relatives. IEEE Trans. Inform. Theory, 58, 3843–3855 (2012)

3. Beelen, P., Datta, M.: Generalized Hamming weights of affine cartesian codes. Finite Fields Appl., 51, 130–145 (2018)

4. Beelen, P., Datta, M., Ghorpade, S. R.: Maximum number of common zeros of homogeneous polynomial equations over finite fields. Proc. Amer. Math. Soc., 146, 1451–1468 (2018)

5. Beelen, P., Datta, M., Ghorpade, S. R.: A combinatorial approach to the number of solutions of systems of homogeneous polynomial equations over finite fields, arXiv:1807.01683 [math.AG]

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