Nonexistence of permutation binomials of certain shapes

Details Nonexistence of permutation binomials of certain shapes Nonexistence of permutation binomials of certain shapes

2007-07-07

arxiv.org/abs/0707.1102v1

Electronic J. Combinatorics 14 (2007), N12

Mathematics

Number Theory

6 pages

Scientific paper

Suppose x^m + c*x^n is a permutation polynomial over GF(p), where p>5 is
prime, m>n>0, and c is in GF(p)^*. We prove that gcd(m-n,p-1) is not 2 or 4. In
the special case that either (p-1)/2 or (p-1)/4 is prime, this was conjectured
in a recent paper by Masuda, Panario and Wang.

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