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Mathematical Methods of Cryptography

Matrix of transition probabilities of differentials of 8-round Luby — Rackoff scheme

M. M. Glukhov^a, O. V. Denisov<sup>b

a</sup> MIREA — Russian Technological University, Moscow
^b ООО «Инновационные телекоммуникационные технологии», г. Москва

Abstract: The Luby — Rackoff scheme is a Markov cipher. The eighth power of the matrix of transition probabilities of differentials of the Lyubi — Rakoff scheme is calculated, estimates of the volume of material for a $j$-vector ($j=1,2$) discriminative attack are given for an $8$-round scheme in the model of independent two-block texts.

Keywords: Markov block ciphers, Luby — Rackoff scheme, distinguishing attack, transition probabilities of differentials.

UDC: 519.24

DOI: 10.17223/2226308X/17/18