JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (5): 106-113.doi: 10.6040/j.issn.1671-9352.0.2015.295

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On construction of resilient functions with maximum algebraic immunity

SUN Tian-feng, HU Bin   

  1. School of Cryptography Engineering, Information Engineering University, Zhengzhou 450001, Henan, China
  • Received:2015-06-15 Online:2016-05-20 Published:2016-05-16

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Abstract: The construction of resilient functions with maximum algebraic immunity was studied by a new method of flexibility, which can be carried out by software implementation easily. By means of flexibility, any majority function can be transformed into resilient function. A sufficient and necessary condition on which the resilient function has maximum algebraic immunity was obtained. Moreover, the cryptographic properties of the resilient function, such as nonlinearity and algebraic degree were studied.

Key words: characteristic matrix, resilient functions, algebraic immunity, flexibility

CLC Number: 

  • TN918.1
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