A class of permutation binomials over finite fields

作者：Hou Xiang dong^*

来源：Journal of Number Theory, 2013, 133(10): 3549-3558.

DOI：10.1016/j.jnt.2013.04.011

• Finite field
• Hypergeometric sum
• Permutation polynomial

Let q be a prime power and f = tx + x(2q-1), where t is an element of F-q*. It was recently conjectured that f is a permutation polynomial of F-q2 if and only if one of the following holds: (i) t = 1, q 1 (mod 4); (ii) t = 3, q equivalent to +/-1 (mod 12); (iii) t = 3, q equivalent to -1 (mod 6). We confirm this conjecture in the present paper.

• 出版日期2013-10