On Some Permutation Binomials and Trinomials Over ${\mathbb{F}}_{2^n}$

Srimanta Bhattacharya, Sumanta Sarkar

In this work, we completely characterize (i) permutation binomials of the form $x^{\frac{2^n-1}{2^t-1}+1}+ax\in {\mathbb{F}}_{2^n}[x],n=2^{s}t,a\in {\mathbb{F}}_{2^{2t}}^{\ast }$,…