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

作者：Mattarei Sandro^*

来源：Finite Fields and Their Applications, 2014, 29: 268-274.

DOI：10.1016/j.ffa.2014.05.002

• Finite field
• Subspace
• Inverse
• Arc
• Cap

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 broken vertical bar A(-1) boolean AND B broken vertical bar when A and B are F-q-subspaces of different dimension of a finite field, satisfying a suitable assumption.

• 出版日期2014-9