A Note on a Class of Quadratic Permutations over F2n

@inproceedings{LaigleChapuy2007ANO,
  title={A Note on a Class of Quadratic Permutations over F2n},
  author={Yann Laigle-Chapuy},
  booktitle={AAECC},
  year={2007}
}
Finding new classes of permutation polynomials is a challenging problem. Blockhuis at al. investigated the permutation behavior of polynomials of the form \(\sum_{i=0}^{n-1}a_iX^{2^i+1}\) over \({\mathbb F}_{{2^n}}\). In this paper, we extend their results and propose as a new conjecture that if n = 2 e then X 2 is the only unitary permutation polynomial of this type. 

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