3 citations · 3 across the 6 of their papers we have counts for
7 papers
Classification of Rational Functions of Degree Three over Finite Fields
Xiang-dong Hou, Siyu Peng, Yongyu Qiang +1
We study rational functions over finite fields under PGL-equivalence. We say that are \emph{equivalent} if there exist of degree one su…
On a Conjecture About the Sum-Freedom of the Binary Multiplicative Inverse Function
Xiang-dong Hou, Shujun Zhao
A recent conjecture by C. Carlet on the sum-freedom of the binary multiplicative inverse function can be stated as follows: For each pair of positive integers with $3\le k\…
Two Absolutely Irreducible Polynomials over and Their Applications to a Conjecture by Carlet
Xiang-dong Hou, Shujun Zhao
Two polynomials and over arose from the study of a conjecture by C. Carlet about the sum-freedom of the multiplicative inverse…
On Sum-Free Functions
Alyssa Ebeling, Xiang-dong Hou, Ashley Rydell +1
A function from to is said to be {\em th order sum-free} if the sum of its values over each -dimensional -affine subspace of $\Bbb F_{…
More on the sum-freedom of the multiplicative inverse function
Claude Carlet, Xiang-dong Hou
In two papers entitled ``Two generalizations of almost perfect nonlinearity" and ``On the vector subspaces of over which the multiplicative inverse function sums…
An approach to normal polynomials through symmetrization and symmetric reduction
Darien Connolly, Calvin George, Xiang-dong Hou +2
An irreducible polynomial of degree is {\em normal} over if and only if its roots satisfy the condition $Δ_n(r, r^q,\dot…
Determination of a Type of Permutation Trinomials over Finite Fields
Xiang-dong Hou
Let . We find explicit conditions on and that are necessary and sufficient for to be a permutation polynomial…