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Prikladnaya Diskretnaya Matematika. Supplement, 2021, Issue 14, Pages 59–61
DOI: https://doi.org/10.17223/2226308X/14/12
(Mi pdma532)
 

Mathematical Methods of Cryptography

XS-circuits: hiding round oracles

S. V. Agievich

Research Institute for Applied Problems of Mathematics and Informatics, Belarusian State University, Minsk
References:
Abstract: XS-circuits describe block ciphers that utilize 2 operations on binary words of fixed length: X — bitwise modulo 2 addition and S — substitution. In this paper, we develop a model of XS-circuits according to which several instances of a simple round circuit containing only one S operation are linked together and form a compound circuit called a cascade. S operations of a cascade are interpreted as independent round oracles. Determining some input/output pair of some round oracle from an input/output of the cascade is considered a security breach. We introduce the notion of hiding round oracles when such determining is hard. We show that a cascade based on a regular round circuit hides round oracles when the number of rounds is at least twice its dimension (the number of words in the processed data blocks).
Keywords: block cipher, XS-circuit, round oracle, linear recurrence sequence.
Bibliographic databases:
Document Type: Article
UDC: 519.7
Language: Russian
Citation: S. V. Agievich, “XS-circuits: hiding round oracles”, Prikl. Diskr. Mat. Suppl., 2021, no. 14, 59–61
Citation in format AMSBIB
\Bibitem{Agi21}
\by S.~V.~Agievich
\paper XS-circuits: hiding round oracles
\jour Prikl. Diskr. Mat. Suppl.
\yr 2021
\issue 14
\pages 59--61
\mathnet{http://mi.mathnet.ru/pdma532}
\crossref{https://doi.org/10.17223/2226308X/14/12}
\elib{https://elibrary.ru/item.asp?id=46580326}
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