| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4582861 | Finite Fields and Their Applications | 2014 | 7 Pages |
Abstract
We prove a geometric property of the set A−1A−1 of inverses of the nonzero elements of an FqFq-subspace A of a finite field involving the size of its intersection with two-dimensional FqFq-subspaces. We give some applications, including a new upper bound on |A−1∩B||A−1∩B| when A and B are FqFq-subspaces of different dimension of a finite field, satisfying a suitable assumption.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Sandro Mattarei,