Title
Polynomial functions over finite commutative rings.
Abstract
We prove a necessary and sufficient condition for a function being a polynomial function over a finite, commutative, unital ring. Further, we give an algorithm running in quasilinear time that determines whether or not a function given by its function table can be represented by a polynomial, and if the answer is yes then it provides one such polynomial.
Year
DOI
Venue
2017
10.1016/j.tcs.2017.09.002
Theoretical Computer Science
Keywords
Field
DocType
Polynomial functions,Local rings,Interpolation
Alternating polynomial,Discrete mathematics,Combinatorics,Stable polynomial,Polynomial,Polynomial ring,Monic polynomial,Homogeneous polynomial,Reciprocal polynomial,Matrix polynomial,Mathematics
Journal
Volume
Issue
ISSN
703
C
0304-3975
Citations 
PageRank 
References 
0
0.34
2
Authors
2
Name
Order
Citations
PageRank
Balázs Bulyovszky100.34
Gábor Horváth221035.47