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Enumerating correlation-immune boolean functions of order one

Authors
  • Tian, Haijian1
  • Yang, Yixian1
  • Wang, Jianyu2
  • 1 Beijing Univ. of Posts and Telecomm., Dept. of Inform. Eng., Beijing, 100088 , Beijing
  • 2 Carleton University of Canada, Canada
Type
Published Article
Journal
Journal of Electronics (China)
Publisher
Science Press
Publication Date
Jan 01, 1998
Volume
15
Issue
1
Pages
50–57
Identifiers
DOI: 10.1007/s11767-998-0021-z
Source
Springer Nature
Keywords
License
Yellow

Abstract

A large class of linear structural functions(LSF) satisfying the condition of correlational immunity of order one are constructed by studying the linear structural Boolean functions. With these new founded functions, the known enumeration bounds of correlation-immune functions of order one are greatly improved. In fact, the best, up to now, lower bound is found.

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