Geodesic
Methods of solution of systems of quasisymmetric equations with applications to the analysis of clock-controlled generators
Matematičeskie voprosy kriptografii, Tome 1 (2010) no. 3, pp. 67-91 Cet article a éte moissonné depuis la source Math-Net.Ru

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Quasisymmetric functions and systems of quasisymmetric equations are defined. An algorithm of solution of such systems is based on the reduction to a shortest path problem. A possibility of solution of system with noise is discussed. Application of results to the analysis of clock-controlled generators expands the domain of algebraic methods and increase the effectiveness of corresponding attacks. 
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V. G. Smirnov. Methods of solution of systems of quasisymmetric equations with applications to the analysis of clock-controlled generators. Matematičeskie voprosy kriptografii, Tome 1 (2010) no. 3, pp. 67-91. http://geodesic.mathdoc.fr/item/MVK_2010_1_3_a4/

[1] Smirnov V. G., “Metody resheniya sistem diskretnykh uravnenii, osnovannye na postroenii grafa reshenii”, Trudy po diskretnoi matematike, 9, Gelios-ARV, M., 2006, 308–339

[2] Smirnov V. G., “Effektivnye algoritmy postroeniya grafa obschego resheniya dlya sistemy bulevykh uravnenii”, Trudy po diskretnoi matematike, 5, FIZMATLIT, M., 2002, 227–234

[3] Smirnov V. G., “Metody postroeniya grafov reshenii dlya sistem $k$-znachnykh uravnenii”, Trudy po diskretnoi matematike, 8, FIZMATLIT, M., 2004, 253–280

[4] Kormen T., Leizerson Ch., Rivest R., Algoritmy: postroenie i analiz, MTsNMO, M., 2001

[5] Balakin G. V., “Vvedenie v teoriyu sluchainykh sistem uravnenii”, Trudy po diskretnoi matematike, 1, TVP, M., 1997, 1–18 | MR | Zbl

[6] Birkgof G., Teoriya struktur, IL, M., 1951

[7] Sachkov V. N., Vvedenie v kombinatornye metody diskretnoi matematiki, Nauka, M., 1982 | MR | Zbl

[8] Potochnye shifry. Rezultaty zarubezhnoi otkrytoi kriptologii, M., 1997

[9] Shnaier B., Prikladnaya kriptografiya. Protokoly, algoritmy, iskhodnye teksty na yazyke Si, Triumf, M., 2002

[10] Al-Hinai S., Batten L., Colbert B., “Algebraic attacks on clock-controlled stream ciphers”, Lect. Notes Comput. Sci., 4058, 2006, 1–16 | Zbl