Concepedia

Complete permutation polynomials from exceptional polynomials

Daniele Bartoli, Massimo Giulietti, Luciane Quoos, Giovanni Zini

Iris Unimore (University of Modena and Reggio Emilia) · 2017 · 28 citations · 13 references

DOIFull text

Open access

Concepts

Abstract

We classify complete permutation monomials of degree qn−1q−1+1 over the finite field with qn elements in odd characteristic, for n+1 a prime and (n+1)4

References

13

Permutation polynomials and applications to coding theory

Yann Laigle-Chapuy · Finite Fields and Their Applications · 2005 · 205 citations

, , +12

The distribution of polynomials over finite fields

Stephen D. Cohen · Acta Arithmetica · 1970 · 124 citations · Full text

, , +5

Investigations on Bent and Negabent Functions via the Nega-Hadamard Transform

Pantelimon Stănică, Sugata Gangopadhyay, Ankita Chaturvedi et al. · IEEE Transactions on Information Theory · 2012 · 74 citations

, , +11

Some new results on permutation polynomials over finite fields

Jingxue Ma, Tao Zhang, Tao Feng et al. · Designs Codes and Cryptography · 2016 · 43 citations

, , +9

Some classes of monomial complete permutation polynomials over finite fields of characteristic two

Gaofei Wu, Nian Li, Tor Helleseth et al. · Finite Fields and Their Applications · 2014 · 40 citations

, , +2