A note regarding permutation binomials over finite fields

2014/06/18 by Lappano, Stephen
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1406.4847

Abstract

Let f=ax+x^r(q-1)+1∈ \mathbbF_q²^*[x], r∈ \5,7\. We give explicit conditions on the values (q,a) for which f is a permutation polynomials of \mathbbF_q².

Related

• Some results about permutation properties of a kind of binomials over finite fields
• Determination of a Type of Permutation Binomials over Finite Fields
• A Class of Permutation Binomials over Finite Fields
• Permutation Polynomials of \Bbb F_q² of the form a\tt X+\tt X^r(q-1)+1
• Permutation Binomials over Finite Fields