A property of the inverse of a subspace of a finite field

Mattarei, Sandro (2014) A property of the inverse of a subspace of a finite field. Finite Fields and Their Applications, 29 . pp. 268-274. ISSN 1071-5797

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A property of the inverse of a subspace of a finite field

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Abstract

We prove a geometric property of the set A^{-1} of inverses of the nonzero elements of an F_q-subspace A of a finite field involving the size of its intersection with two-dimensional F_q-subspaces. We give some applications, including a new upper bound on the size of the intersection of A^{-1} with B when A and B are F_q-subspaces of different dimension of a finite field, satisfying a suitable assumption.

Keywords:finite field, inverse, subspace, JCNotOpen
Subjects:G Mathematical and Computer Sciences > G110 Pure Mathematics
Divisions:College of Science > School of Mathematics and Physics
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ID Code:18500
Deposited On:11 Dec 2015 09:37

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