A new family of maximum scattered linear sets in $\mathrm{PG}(1,q^6)$

13 Feb 2020 Bartoli Daniele Zanella Corrado Zullo Ferdinando

We generalize the example of linear set presented by the last two authors in "Vertex properties of maximum scattered linear sets of $\mathrm{PG}(1,q^n)$" (2019) to a more general family, proving that such linear sets are maximum scattered when $q$ is odd and, apart from a special case, they are are new. This solves an open problem posed in "Vertex properties of maximum scattered linear sets of $\mathrm{PG}(1,q^n)$" (2019)... (read more)

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Categories


  • COMBINATORICS
  • INFORMATION THEORY
  • INFORMATION THEORY