The Number of Permutation Binomials over F4p+1 where p and 4p+1 are Primes

Abstract

We give a characterization of permutation polynomials over a finite field based on their coefficients, similar to Hermite’s Criterion. Then, we use this result to obtain a formula for the total number of monic permutation binomials of degree less than 4p over F4p+1, where p and 4p + 1 are primes, in terms of the numbers of three special types of permutation… (More)

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