Hyperbent functions from hyperovals

Research output: Contribution to journalArticlepeer-review


Using polar coordinates, we consider descriptions of translation, Subiaco and Adelaide hyperovals in terms of exponential sums and Kloosterman sums. As an application, we describe a new construction of hyperbent functions that belong to the Charpin and Gong’s family. Explicit examples of this construction are provided as functions with multiple trace terms via Dillon-like exponents.

Original languageEnglish
Pages (from-to)1031-1048
Number of pages18
JournalCryptography and Communications
Issue number5
Publication statusPublished - Sept 2023


  • Bent functions
  • Hyperbent functions
  • Hyperovals
  • Kloosterman sums

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Computational Theory and Mathematics
  • Applied Mathematics


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