Abstract
The propagation criterion is defined in cryptography in order to analyze the security of cryptographic components with respect to differential cryptanalysis. This paper explains a class of plateaued functions satisfying the propagation criterion of degree l $l$ by using the Maiorana–McFarland construction. And a variety of other desirable criteria for functions with cryptographic application could also be satisfied, such as balancedness, high non-linearity, non-existence of non-zero linear structures, good global avalanche characteristics.
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