J4 ›› 2010, Vol. 45 ›› Issue (3): 55-60.

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Research of computing orders of algebraic immunity of the Boolean function

 LIU Yang   

  1. University of Michigan—Shanghai Jiao Tong University Joint Institute, Shanghai Jiao Tong University, Shanghai 200240,  China
  • Received:2009-10-20 Online:2010-03-16 Published:2010-04-02

Abstract:

Some algorithms used in computing orders of algebraic immunity of Boolean functions are discussed. Affine transforming for matrix and Wiedemann's algorithm are combined to compute orders of algebraic immunity for reducing time and space complexities, and the conclusions are verified by experiments.
 

Key words: algebraic immunity; Wiedemann’s algorithm; annihilator; characteristic matrix

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