Geodesic
Locally invertible Boolean functions
Prikladnaâ diskretnaâ matematika, no. 4 (2011), pp. 11-21

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The property of local invertibility of Boolean functions is considered. A number of necessary conditions of local invertibility is proven; they can be used to construct functions that are not locally invertible. We prove a new criterion of local invertibility connecting this property with some properties of Boolean functions with barrier.
Keywords: perfectly balanced functions, barriers of Boolean functions, local invertibility, cryptography. 
@article{PDM_2011_4_a1,
     author = {S. V. Smyshlyaev},
     title = {Locally invertible {Boolean} functions},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {11--21},
     publisher = {mathdoc},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2011_4_a1/}
}
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S. V. Smyshlyaev. Locally invertible Boolean functions. Prikladnaâ diskretnaâ matematika, no. 4 (2011), pp. 11-21. http://geodesic.mathdoc.fr/item/PDM_2011_4_a1/