Fetching the paper…
Reading the bibliography…
We study the problem of determining the minimum number $f(n,k,d)$ of affine subspaces of codimension $d$ that are required to cover all points of $\mathbb{F}_2^n\setminus \{\vec{0}\}$ at least $k$ times while covering the origin at most $k-1$ times.
Covering finite fields with cosets of subspaces,
R. E. Jamison, · 1977
Earlier work this paper cites.
The blocking number of an affine space,
A. E. Brouwer and A. Schrijver, · 1978
Earlier work this paper cites.
The Jamison method in Galois geometries,
A. A. Bruen and J. C. Fisher, · 1991
Earlier work this paper cites.
Polynomial multiplicities over finite fields and intersection sets,
A. A. Bruen, · 1992
Earlier work this paper cites.
Covering the cube by affine hyperplanes,
N. Alon and Z. Füredi, · 1993
Earlier work this paper cites.
Partitions of vector spaces,
P. Komjáth, · 1994
Earlier work this paper cites.
On intersection sets in Desarguesian affine spaces,
S. Ball, · 2000
Earlier work this paper cites.
C. Zanella, · 2002
Cited alongside, same era.
Punctured Combinatorial Nullstellensätze,
S. Ball and O. Serra, · 2009
Cited alongside, same era.
Covering all points except one,
A. Blokhuis, A. E. Brouwer and T. Szőnyi, · 2010
Cited alongside, same era.
Some extensions of Alon’s Nullstellensatz,
G. Kós, T. Mészáros and L. Rónyai, · 2011
Cited alongside, same era.
The polynomial method in Galois geometries,
S. Ball, · 2012
Cited alongside, same era.
Alon’s Nullstellensatz for multisets,
G. Kós and L. Rónyai, · 2012
Cited alongside, same era.
On zeros of a polynomial in a finite grid,
A. Bishnoi, P. L. Clark, A. Potukuchi and J. R. Schmitt, · 2018
Later among the works it cites.
Bounding the Number of common zeros of multivariate polynomials and their consecutive derivatives,
O. Geil and U. Matrínez-Peñas, · 2019
Later among the works it cites.
On almost k k -covers of hypercubes,
A. Clifton and H. Huang, · 2020
Later among the works it cites.
Gurobi Optimizer Reference Manual
2020
Later among the works it cites.
SageMath, the Sage Mathematics Software System (Version 9.0) , The Sage Developers, 2020, https://www.sagemath.org
2020
Later among the works it cites.
Polynomials that vanish to high order on most of the hypercube,
L. Sauermann and Y. Wigderson, · 2020
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Polynomial methods in combinatorics, Vol. 64,
L. Guth, · 2016
Cited alongside, same era.
Later among the works it cites.