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Higgledy-piggledy subspaces and uniform subspace designs

Fancsali, Szabolcs and Sziklai, Péter (2014) Higgledy-piggledy subspaces and uniform subspace designs. Designs, Codes and Cryptography. pp. 1-27. (Submitted)

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Abstract

In this article, we investigate collections of `well-spread-out' pro- jective (and linear) subspaces. Pro jective k -subspaces in PG ( d; F ) are in `higgledy-piggledy arrangement' if they meet each pro jective sub- space of co-dimension k in a generator set of p oints. We prove that the set H of higgledy-piggledy k -subspaces has to contain morethan min n j F j ; P k i =0 b d

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika > QA73 Geometry / geometria
Depositing User: Dr. Péter Sziklai
Date Deposited: 25 Sep 2014 13:51
Last Modified: 25 Sep 2014 13:51
URI: http://real.mtak.hu/id/eprint/16798

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