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 |A^{−1}∩B| when A and B are F_q-subspaces of different dimension of a finite field, satisfying a suitable assumption.
A property of the inverse of a subspace of a finite field
Mattarei, Sandro
2014-01-01
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 |A^{−1}∩B| when A and B are F_q-subspaces of different dimension of a finite field, satisfying a suitable assumption.File in questo prodotto:
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