Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9492942 | Finite Fields and Their Applications | 2005 | 14 Pages |
Abstract
Few nontrivial results about the value sets of polynomials over finite fields are known. This paper uses results from the theory of crosscorrelation of binary m-sequences to find five kinds of polynomials f(x) defined over finite fields GF(2n) such that f(x) takes on each nonzero value only small a number of times (at most six times).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Thomas W. Cusick,