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. 
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     author = {M. A. Pudovkina},
     title = {Properties of $X,S$-layers},
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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/

[1] Pogorelov B. A., Pudovkina M. A., “O kombinatornykh svoistvakh gruppy, porozhdennoi $X,L$-sloyami”, Prikladnaya diskretnaya matematika. Prilozhenie, 2012, no. 5, 22–23

[2] Pudovkina M. A., “Lineinye struktury grupp podstanovok nad konechnym modulem”, Prikladnaya diskretnaya matematika, 2008, no. 1, 25–28