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Prikladnaya Diskretnaya Matematika. Supplement, 2024, Issue 17, Pages 120–122
DOI: https://doi.org/10.17223/2226308X/17/29 (Mi pdma659) 		 
Mathematical Methods of Cryptography

On mixing properties of register transformations of ciphers TEA1 and TEA2

P. A. Chezhegovaa, A. M. Korenevaba, M. V. Polyakovbc, G. V. Firsovbd

a Financial University under the Government of the Russian Federation, Moscow
b "Security Code", Moscow
c Bauman Moscow State Technical University
d National Engineering Physics Institute "MEPhI", Moscow
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DOI: https://doi.org/10.17223/2226308X/17/29
Abstract: In 2023, stream ciphers TEA1, TEA2, TEA3 were revealed as a part of TETRA standard. We study the mixing properties of register transformations of stream ciphers TEA1 and TEA2. Using the matrix-graph approach, we have calculated the exponents of these register transformations’ mixing matrices, it is equal to 6 and 34 respectively. As a result, we can conclude that the calculated exponents for TEA1 and TEA2 are fitting the parameters chosen by developers. Moreover, it is possible to use key registers with lesser number of warm-up rounds for lightweight ciphers implementation.
Keywords: matrix-graph approach, mixing properties, exponent of matrix, shift register, TETRA.
Document Type: Article
UDC: 519.7
Language: Russian
Citation: P. A. Chezhegova, A. M. Koreneva, M. V. Polyakov, G. V. Firsov, “On mixing properties of register transformations of ciphers TEA1 and TEA2”, Prikl. Diskr. Mat. Suppl., 2024, no. 17, 120–122
Citation in format AMSBIB
\Bibitem{CheKorPol24}
\by P.~A.~Chezhegova, A.~M.~Koreneva, M.~V.~Polyakov, G.~V.~Firsov
\paper On mixing properties of register transformations of ciphers TEA1 and TEA2
\jour Prikl. Diskr. Mat. Suppl.
\yr 2024
\issue 17
\pages 120--122
\mathnet{http://mi.mathnet.ru/pdma659}
\crossref{https://doi.org/10.17223/2226308X/17/29}
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