On a conjecture of polynomials with prescribed range

Details On a conjecture of polynomials with prescribed range On a conjecture of polynomials with prescribed range

2011-03-18

arxiv.org/abs/1103.3635v1

Mathematics

Combinatorics

Scientific paper

We show that, for any integer $\ell$ with $q-\sqrt{p} -1 \leq \ell < q-3$ where $q=p^n$ and $p>9$, there exists a multiset $M$ satisfying that $0\in M$ has the highest multiplicity $\ell$ and $\sum_{b\in M} b =0$ such that every polynomial over finite fields $\fq$ with the prescribed range $M$ has degree greater than $\ell$. This implies that Conjecture 5.1. in \cite{gac} is false over finite field $\fq$ for $p > 9$ and $k:=q-\ell -1 \geq 3$.

Affiliated with

Also associated with

No associations

Rating

On a conjecture of polynomials with prescribed range does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On a conjecture of polynomials with prescribed range, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On a conjecture of polynomials with prescribed range will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-185259