Affine vector space partitions

Author:

Bamberg John,Filmus Yuval,Ihringer Ferdinand,Kurz SaschaORCID

Abstract

AbstractAn affine vector space partition of$${{\,\textrm{AG}\,}}(n,q)$$AG(n,q)is a set of proper affine subspaces that partitions the set of points. Here we determine minimum sizes and enumerate equivalence classes of affine vector space partitions for small parameters. We also give parametric constructions for arbitrary field sizes.

Funder

Research Foundation Flanders

Horizon 2020

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications

Reference29 articles.

1. Agievich S.V.: Bent rectangles. In: Boolean Functions in Cryptology and Information Security, volume 18 of NATO Science for Peace and Security Series D: Information and Communication Security (2008).

2. Bamberg J., Betten A., Cara P., De Beule J., Lavrauw M., Neunhöffer M.: FinInG—Finite Incidence Geometry, Version 1.4.1 (2018). http://www.fining.org.

3. Beutelspacher A.: Partial spreads in finite projective spaces and partial designs. Mathematische Zeitschrift 145(3), 211–229 (1975).

4. De Beule J., Demeyer J., Mattheus S., Sziklai P.: On the cylinder conjecture. Des. Codes Cryptogr. 87(4), 879–893 (2019).

5. Davydov G., Davydova I., Büning H.K.: An efficient algorithm for the minimal unsatisfiability problem for a subclass of CNF. Ann. Math. Artif. Intell. 23(3–4), 229–245 (1998).

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