Geodesic
Experimental research on exponents of mixing matrices for generalized Feistel networks
Prikladnaya Diskretnaya Matematika. Supplement, no. 9 (2016), pp. 48-51

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In this work, we research the mixing properties of round functions in generalized Feistel networks based on shift registers of length $4$ over the set of binary $32$-dimensional vectors. Register functions with different number of register feedbacks were considered. By an experiment, we obtain recommendations for selecting parameters of the register functions to implement the fast mixing of input bits.
Keywords: generalized Feistel network, encryption round, exponent of matrix, mixing matrix. 
@article{PDMA_2016_9_a19,
     author = {A. M. Koreneva and V. N. Martyshin},
     title = {Experimental research on exponents of mixing matrices for generalized {Feistel} networks},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {48--51},
     publisher = {mathdoc},
     number = {9},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2016_9_a19/}
}
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A. M. Koreneva; V. N. Martyshin. Experimental research on exponents of mixing matrices for generalized Feistel networks. Prikladnaya Diskretnaya Matematika. Supplement, no. 9 (2016), pp. 48-51. http://geodesic.mathdoc.fr/item/PDMA_2016_9_a19/