A property of the inverse of a subspace of a finite field
arXiv:1312.1293 · doi:10.1016/j.ffa.2014.05.002
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} and B when A and B are F_q-subspaces of different dimension of a finite field, satisfying a suitable natural assumption.
arXiv comment6 pages