13 citations · 15 across the 9 of their papers we have counts for
9 papers
Geometric characterization of -exceptional monomial GAPN functions
Masamichi Kuroda, Kentaro Mitsui
On finite fields of characteristic , PN (perfect nonlinear) functions for odd and APN (almost perfect nonlinear) functions for even are well-known classes of highly nonl…
The Coboundary Quasi-Polynomials of Hyperplane Arrangements over Residually Finite Dedekind Domains
Masamichi Kuroda, Norihiro Nakashima, Shuhei Tsujie
The characteristic polynomial plays an important role in study of hyperplane arrangements. There are several refinements of the characteristic polynomial. One of them is the coboun…
The Characteristic Quasi-Polynomials of Hyperplane Arrangements over Residually Finite Dedekind Domains
Masamichi Kuroda, Shuhei Tsujie
Kamiya, Takemura, and Terao initiated the theory of the characteristic quasi-polynomial of an integral arrangement, which is a function counting the elements in the complement of t…
Chromatic Signed-Symmetric Functions of Signed Graphs
Masamichi Kuroda, Shuhei Tsujie
Stanley introduced the chromatic symmetric function of a simple graph, which is a generalization of a chromatic polynomial. This is expressed in terms of the integer points of the…
Unit Ball Graphs on Geodesic Spaces
Masamichi Kuroda, Shuhei Tsujie
Consider finitely many points in a geodesic space. If the distance of two points is less than a fixed threshold, then we regard these two points as "near". Connecting near points w…
Monomial generalized almost perfect nonlinear functions
Masamichi Kuroda
Generalized almost perfect nonlinear (GAPN) functions were defined to satisfy some generalizations of basic properties of almost perfect nonlinear (APN) functions for even characte…
The GIT moduli of semistable pairs consisting of a cubic curve and a line on
Masamichi Kuroda
We discuss the GIT moduli of semistable pairs consisting of a cubic curve and a line on the projective plane. We study in some detail this moduli and compare it with another moduli…
A Generalization of APN Functions for Odd Characteristic
Masamichi Kuroda, Shuhei Tsujie
Almost perfect nonlinear (APN) functions on finite fields of characteristic two have been studied by many researchers. Such functions have useful properties and applications in cry…
-bases of the Néron-Severi groups of certain elliptic surfaces
Masamichi Kuroda
P. Stiller computed the Picard numbers of several families of elliptic surfaces, the rank of the Néron-Severi groups of these surfaces. However he did not give the generators of th…