Let rβ₯3 be any positive integer which is relatively prime to p and
q2β‘1(modr). Let Ο1β,Ο2β be any permutation polynomials over
Fq2β,ΟMβ is an invertible linear map over
Fq2β and Ο=Ο1ββΟMββΟ2β. In this paper,
we prove that, for suitable Ο1β,Ο2β and ΟMβ, the map Ο
could be r-regular complete permutation polynomials over quadratic extension
fields.Comment: 10 pages. arXiv admin note: substantial text overlap with
arXiv:2212.1286