Permutations amongst the Dembowski-Ostrom Polynomials

  • Blokhuis A
  • Coulter R
  • Henderson M
  • et al.
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Abstract

We note that certain Dembowski-Ostrom polynomials can be obtained from the product of two linearised polynomials. We examine this subclass for permutation behaviour over finite fields. In particular, a new infinite class of permutation polynomials is identified.

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Blokhuis, A., Coulter, R. S., Henderson, M., & O’Keefe, C. M. (2001). Permutations amongst the Dembowski-Ostrom Polynomials. In Finite Fields and Applications (pp. 37–42). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-56755-1_4

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