A Characterization of Bent Functions in Terms of Strongly Regular Graphs

  • Authors:
  • Anna Bernasconi;Bruno Codenotti;Jeffrey M. VanderKam

  • Affiliations:
  • Univ. delgi Studi di Pisa, Pisa, Italy;Instituto di Mathematica Computazionale del C.N.R., Pisa, Italy;Center for Communications Research, Princeton, NJ

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 2001

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Abstract

In this note, we prove that bent functions can be precisely characterized in terms of a special class of strongly regular graphs, thus providing a positive answer to a question raised in the paper 驴Spectral Analysis of Boolean Functions as a Graph Eigenvalue Problem.驴