On combinatorial properties of the group generated by $XL$ layers
Prikladnaya Diskretnaya Matematika. Supplement, no. 5 (2012), pp. 22-23.

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$XSL$ block ciphers are based on Shannon's principles of confusion and diffusion. Round functions of these ciphers consist of round key addition, a substitution and a linear transformation. In this paper, the combinatorial properties of the group generated by the linear transformation and all round keys XOR-addition are described.
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B. A. Pogorelov; M. A. Pudovkina. On combinatorial properties of the group generated by $XL$ layers. Prikladnaya Diskretnaya Matematika. Supplement, no. 5 (2012), pp. 22-23. http://geodesic.mathdoc.fr/item/PDMA_2012_5_a10/

[1] Godsil C., Royle G., Algebraic Graph Theory, Springer Verlag, 2001 | MR