Geodesic
Properties of $X,S$-layers
Prikladnaya Diskretnaya Matematika. Supplement, no. 5 (2012), pp. 26-28

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Round functions of $XSL$ block ciphers consist of round key addition, a substitution and a linear transformation. In this paper, the properties of the group generated by the substitution and all round keys XOR-addition are described. 
@article{PDMA_2012_5_a12,
     author = {M. A. Pudovkina},
     title = {Properties of $X,S$-layers},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {26--28},
     publisher = {mathdoc},
     number = {5},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2012_5_a12/}
}
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M. A. Pudovkina. Properties of $X,S$-layers. Prikladnaya Diskretnaya Matematika. Supplement, no. 5 (2012), pp. 26-28. http://geodesic.mathdoc.fr/item/PDMA_2012_5_a12/