On plateaued functions satisfying propagation criterion of degree l

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 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.