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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…