Geodesic
About a Feistel block cipher generalization
Prikladnaâ diskretnaâ matematika, no. 3 (2012), pp. 34-40

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Generalized Feistel Networks based on shift registers are investigated. The involutivity criterion is proved for the encryption algorithms in this class. The mixing properties of concerned algorithms are researched using a graph-theoretical approach. The upper bounds for the diameter and for the exponent of the mixing graph of the appropriated round function are given.
Keywords: Feistel block cipher, involutivity, mixing graph (matrix) of a transformation, diameter of a graph, exponent of a graph. 
@article{PDM_2012_3_a3,
     author = {A. M. Koreneva and V. M. Fomichev},
     title = {About a {Feistel} block cipher generalization},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {34--40},
     publisher = {mathdoc},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2012_3_a3/}
}
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A. M. Koreneva; V. M. Fomichev. About a Feistel block cipher generalization. Prikladnaâ diskretnaâ matematika, no. 3 (2012), pp. 34-40. http://geodesic.mathdoc.fr/item/PDM_2012_3_a3/