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This article is cited in 1 scientific paper (total in 1 paper)
Mathematical Methods of Cryptography
Sufficient variables for transition function of a modified additive generator
A. M. Korenevaab, V. M. Fomichevcadb a National Engineering Physics Institute "MEPhI", Moscow
b "Security Code", Moscow
c Financial University under the Government of the Russian Federation, Moscow
d Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow
Abstract:
We consider the class of bijective shift registers of length $n$ over the set $V_r$ of binary vectors of length $r$. In this paper, we research registers constructed on the additive generators modulo $2^r$ modified by a transformation of $V_r$. The feedback function of such a register is a composition of additive generator feedback function and the transformation of $V_r$. It is known that determination of sufficient variables for the composition of nonlinear functions is a complicated problem. By using combinative properties of the bijection $\mathbb Z_{2^r}\leftrightarrow V_r$, we describe the set of all sufficient variables for feedback function of the registers researched.
Keywords:
additive generator, sufficient variable, mixing properties.
Citation:
A. M. Koreneva, V. M. Fomichev, “Sufficient variables for transition function of a modified additive generator”, Prikl. Diskr. Mat. Suppl., 2016, no. 9, 51–54
Linking options:
https://www.mathnet.ru/eng/pdma279 https://www.mathnet.ru/eng/pdma/y2016/i9/p51
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Abstract page: | 226 | Full-text PDF : | 76 | References: | 28 |
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