On Binary Resilient Functions

  • Authors:
  • Xiang-Dong Hou

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

  • Venue:
  • Designs, Codes and Cryptography
  • Year:
  • 2003

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Abstract

Using a lifting formula for the coefficients of Boolean functions, we characterize binary resilient functions as binary matrices with certain row or column intersection properties. We give some new constructions of binary resilient functions based on this characterization. In particular, we show that the incidence matrix of a Steiner system can be used to construct binary resilient functions.