A. M. Koreneva, V. M. Fomichev, “About a Feistel block cipher generalization”, Prikl. Diskr. Mat., 2012, no. 3(17), 34

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Prikladnaya Diskretnaya Matematika, 2012, Number 3(17), Pages 34–40 (Mi pdm377)

This article is cited in 11 scientific papers (total in 11 papers)

Mathematical Methods of Cryptography

About a Feistel block cipher generalization

A. M. Koreneva^a, V. M. Fomichev^b

^a National Engineering Physics Institute (MEPhI), Moscow, Russia
^b Financial University under the Government of the Russian Federation, Moscow, Russia

Full-text PDF (629 kB) Citations (11)

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Abstract: Generalized Feistel Networks based on shift registers are investigated. The involutivity criterion is proved for the encryption algorithms in this class. The mixing properties of concerned algorithms are researched using a graph-theoretical approach. The upper bounds for the diameter and for the exponent of the mixing graph of the appropriated round function are given.

Keywords: Feistel block cipher, involutivity, mixing graph (matrix) of a transformation, diameter of a graph, exponent of a graph.

Document Type: Article

UDC: 519.6

Language: Russian

Citation: A. M. Koreneva, V. M. Fomichev, “About a Feistel block cipher generalization”, Prikl. Diskr. Mat., 2012, no. 3(17), 34–40

Citation in format AMSBIB

\Bibitem{KorFom12}

\by A.~M.~Koreneva, V.~M.~Fomichev

\paper About a Feistel block cipher generalization

\jour Prikl. Diskr. Mat.

\yr 2012

\issue 3(17)

\pages 34--40

\mathnet{http://mi.mathnet.ru/pdm377}

Linking options:

https://www.mathnet.ru/eng/pdm377

https://www.mathnet.ru/eng/pdm/y2012/i3/p34

This publication is cited in the following 11 articles:

A. M. Koreneva, V. M. Fomichev, “The mixing properties of modified additive generators”, J. Appl. Industr. Math., 11:2 (2017), 215–226
A. M. Koreneva, “O primitivnosti peremeshivayuschikh orgrafov registrov sdviga s dvumya obratnymi svyazyami”, PDM, 2017, no. 37, 32–51
A. M. Koreneva, V. M. Fomichev, “O suschestvennykh peremennykh funktsii perekhodov modifitsirovannogo additivnogo generatora”, PDM. Prilozhenie, 2016, no. 9, 51–54
A. M. Koreneva, V. N. Martyshin, “Eksperimentalnoe issledovanie eksponentov raundovykh peremeshivayuschikh matrits obobschennykh setei Feistelya”, PDM. Prilozhenie, 2016, no. 9, 48–51
A. M. Dorokhova, “O primitivnosti peremeshivayuschikh grafov preobrazovanii registrov sdviga s dvumya obratnymi svyazyami”, PDM. Prilozhenie, 2015, no. 8, 8–11
A. M. Dorokhova, V. M. Fomichev, “Utochnennye otsenki eksponentov peremeshivayuschikh grafov biektivnykh registrov sdviga nad mnozhestvom dvoichnykh vektorov”, PDM, 2014, no. 1(23), 77–83
A. M. Dorokhova, “Otsenki eksponentov peremeshivayuschikh grafov nekotorykh modifikatsii additivnykh generatorov”, PDM. Prilozhenie, 2014, no. 7, 60–64
V. M. Fomichev, “Ob otsenkakh eksponentov orgrafov s ispolzovaniem chisel Frobeniusa”, PDM. Prilozhenie, 2014, no. 7, 137–140
A. M. Koreneva, “O blochnykh shifrakh, postroennykh na osnove registrov sdviga s dvumya obratnymi svyazyami”, PDM. Prilozhenie, 2013, no. 6, 39–41
A. M. Koreneva, V. M. Fomichev, “Kriptograficheskie svoistva blochnykh shifrov, postroennykh na osnove registrov sdviga”, PDM. Prilozhenie, 2012, no. 5, 49–51
K. G. Kogos, V. M. Fomichev, “Polozhitelnye svoistva neotritsatelnykh matrits”, PDM, 2012, no. 4(18), 5–13

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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