| Citation: | Jie GUAN, Junjun HUANG. Research on Linear Properties of Keccak-like S-box[J]. Journal of Electronics & Information Technology, 2020, 42(7): 1790-1795. doi: 10.11999/JEIT190570
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In this paper, the S-box of Keccak is generalized into n-variable Keccak-like S-box, and the linear properties of n-variable Keccak-like S-box is studied. It is proved that all the values of correlation advantages of this kind of S-box are 0 or
, where
and
, and for any k in this range, there is an input mask and an output mask that make the correlation advantage be
. Furthermore, it is proved that when the output mask is fixed, the values of the nontrivial correlation advantages of the S-box are determined. Then, the necessary and sufficient condition are given when the count for the nontrivial correlation advantage is the maximum value
. Finally, the value distribution of the Walsh spectrum of Keccak-like S-box is presented.
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