Geodesic
On probabilities of $r$-round differences of a~Markov XSL block cipher with a~reducible linear transformation
Prikladnaya Diskretnaya Matematika. Supplement, no. 7 (2014), pp. 52-54

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Round functions in XSL block ciphers consist of three layers. The first is a key addition layer; the second is a nonlinear s-box layer; the third is a linear layer. Here, for a Markov XSL block cipher with a reducible linear transformation, instead of “classical” $r$-round differential characteristic used in differential technique, a $r$-round differential characteristic defined by the sequence of invariant subspace cosets of the linear transformation is considered.
Keywords: Markov cipher, reducible linear transformation, differential characteristic.
Mots-clés : invariant set 
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     author = {M. A. Pudovkina},
     title = {On probabilities of $r$-round differences of {a~Markov} {XSL} block cipher with a~reducible linear transformation},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {52--54},
     publisher = {mathdoc},
     number = {7},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2014_7_a22/}
}
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M. A. Pudovkina. On probabilities of $r$-round differences of a~Markov XSL block cipher with a~reducible linear transformation. Prikladnaya Diskretnaya Matematika. Supplement, no. 7 (2014), pp. 52-54. http://geodesic.mathdoc.fr/item/PDMA_2014_7_a22/