q-ary Bent Functions Constructed from Chain Rings

  • Authors:
  • Xiang-Dong Hou

  • Affiliations:
  • Department of Mathematics and Statistics, Wright State University, Dayton, Ohio, 45435, f1xhou@euler.math.wright.eduf1

  • Venue:
  • Finite Fields and Their Applications
  • Year:
  • 1998

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Abstract

A chain ring is a finite local principal ideal ring.q-ary bent functions are constructed from chain rings which are freeZ"q-modules. A construction combining such bent functions is also given.