Some classes of complete permutation polynomials over \(\mathbb F_q\)

DOI10.1007/s11425-014-4964-2zbMath1325.05013arXiv1312.4716OpenAlexW1589951659MaRDI QIDQ892773

Gaofei Wu, Nian Li, Tor Helleseth, Yu Qing Zhang

Publication date: 12 November 2015

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.4716

zbMATH Keywords

finite fieldWalsh transformDickson polynomialscomplete permutation polynomialsNiho exponents

Mathematics Subject Classification ID

Polynomials over finite fields (11T06)

Related Items (12)

New classes of complete permutation polynomials ⋮ A survey on the applications of Niho exponents ⋮ New classes of permutation binomials and permutation trinomials over finite fields ⋮ Unnamed Item ⋮ Several classes of complete permutation polynomials with Niho exponents ⋮ Further results on complete permutation monomials over finite fields ⋮ A specific type of permutation and complete permutation polynomials over finite fields ⋮ Complete permutation polynomials from exceptional polynomials ⋮ Several classes of complete permutation polynomials over finite fields of even characteristic ⋮ Some new results on permutation polynomials over finite fields ⋮ On monomial complete permutation polynomials ⋮ Constructions of complete permutation polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some classes of monomial complete permutation polynomials over finite fields of characteristic two
• A note on constructing permutation polynomials
• Explicit classes of permutation polynomials of \(\mathbb F_{3^{3m}}\)
• Several classes of complete permutation polynomials
• A note on complete polynomials over finite fields and their applications in cryptography
• Cubic Monomial Bent Functions: A Subclass of $\mathcal{M}$
• Dickson Polynomials Over Finite Fields and Complete Mappings
• When Does a Polynomial Over a Finite Field Permute the Elements of the Field?
• When Does a Polynomial over a Finite Field Permute the Elements of the Field?, II
• On the Walsh Transform of a Class of Functions From Niho Exponents
• SOME FAMILIES OF PERMUTATION POLYNOMIALS OVER FINITE FIELDS

This page was built for publication: Some classes of complete permutation polynomials over \(\mathbb F_q\)