Qiang Wang

collaborators

4 papers

math.NT2012

Value sets of polynomial maps over finite fields

Gary L. Mullen, Daqing Wan, Qiang Wang

We provide upper bounds for the cardinality of the value set of a polynomial map in several variables over a finite field. These bounds generalize earlier bounds for univariate pol…

math.NT2012

Cyclotomy and permutation polynomials of large indices

Qiang Wang

We use cyclotomy to design new classes of permutation polynomials over finite fields. This allows us to generate many classes of permutation polynomials in an algorithmic way. Many…

math.CO2011

On a conjecture of polynomials with prescribed range

Muratović-Ribić, Qiang Wang

We show that, for any integer $ℓ$ with $q - p - 1 \leq ℓ < q - 3$ where $q = p^{n}$ and $p > 9$ , there exists a multiset $M$ satisfying that $0 \in M$ has the highest multiplicity…

math.NT2010

On explicit factors of Cyclotomic polynomials over finite fields

Liping Wang, Qiang Wang

We study the explicit factorization of $2^{n} r$ -th cyclotomic polynomials over finite field $F_{q}$ where $q, r$ are odd with $(r, q) = 1$ . We show that all irreducible factor…