More classes of permutation polynomials of the form $$(x^{p^m}-x+\delta )^s+L(x)$$(xpm-x+δ)s+L(x)

This note presents two classes of permutation polynomials of the form $$(x^{p^m}-x+\delta )^s+L(x)$$(xpm-x+δ)s+L(x) over the finite fields $${{\mathbb {F}}}_{p^{2m}}$$Fp2m as a supplement of the recent works of Zha, Hu and Li, Helleseth and Tang.

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