ZHUO Zepeng and CHONG Jinfeng, “On Algebraic Immunity of Boolean Functions by Concatenation,” Chinese Journal of Electronics, vol. 22, no. 2, pp. 273-276, 2013,
Citation: ZHUO Zepeng and CHONG Jinfeng, “On Algebraic Immunity of Boolean Functions by Concatenation,” Chinese Journal of Electronics, vol. 22, no. 2, pp. 273-276, 2013,

On Algebraic Immunity of Boolean Functions by Concatenation

Funds:  This work is supported by the Anhui Provincial Natural Science Foundation (No.1208085QF119), the Natural Science Foundation of Anhui Higher Education Institutions of China (No.KJ2012z353).
  • Received Date: 2012-04-01
  • Rev Recd Date: 2012-06-01
  • Publish Date: 2013-04-25
  • Algebraic immunity measures the resistance of a Boolean function against algebraic attack. To resist algebraic attack, a Boolean function should possess high algebraic immunity. Concatenation is an important method by which we can construct Boolean functions with good cryptographic properties. In this paper, we investigate certain classes of Boolean functions g=f1||f2||f3||f4 for their algebraic immunity. When n is even, we obtain two special classes (n+2)-variable Boolean functions with maximum algebraic immunity. Last, for an odd integer n, we get the divisibility result on the weights of Boolean functions with maximum possible algebraic immunity.
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