Abstract
mv3 is a new word based stream cipher for encrypting long streams of data. A direct adaptation of a byte based cipher such as rc4 into a 32- or 64-bit word version will obviously need vast amounts of memory. This scaling issue necessitates a look for new components and principles, as well as mathematical analysis to justify their use. Our approach, like rc4’s, is based on rapidly mixing random walks on directed graphs (that is, walks which reach a random state quickly, from any starting point). We begin with some well understood walks, and then introduce nonlinearity in their steps in order to improve security and show long term statistical correlations are negligible. To minimize the short term correlations, as well as to deter attacks using equations involving successive outputs, we provide a method for sequencing the outputs derived from the walk using three revolving buffers. The cipher is fast — it runs at a speed of less than 5 cycles per byte on a Pentium IV processor. A word based cipher needs to output more bits per step, which exposes more correlations for attacks. Moreover we seek simplicity of construction and transparent analysis. To meet these requirements, we use a larger state and claim security corresponding to only a fraction of it. Our design is for an adequately secure word-based cipher; our very preliminary estimate puts the security close to exhaustive search for keys of size ≤ 256 bits.
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References
Aiello, W., Rajagopalan, S., Venkatesan, R.: Design of Practical and Provably Good Random Number Generators. In: Proc. of SODA 1995, pp. 1–9 (1995)
Alon, N., Roichman, Y.: Random Cayley Graphs and Expanders. Rand. Str. Alg. 5(2), 271–284 (1994)
Berbain, C., Billet, O., Canteaut, A., Courtois, N., Gilbert, H., Goubin, L., Gouget, A., Granboulan, L., Lauradoux, C., Minier, M., Pornin, T., Sibert, H.: Sosemanuk, a Fast Software-Oriented Stream Cipher. In: Ecrypt 2005 (submitted, 2005)
Biham, E., Seberry, J.: Py (Roo): A fast and secure stream cipher using rolling arrays. In: Ecrypt 2005 (submitted, 2005)
Biryukov, A., Shamir, A.: Cryptanalytic Time/Memory/Data Tradeoffs for Stream Ciphers. In: Okamoto, T. (ed.) ASIACRYPT 2000. LNCS, vol. 1976, pp. 1–13. Springer, Heidelberg (2000)
Coppersmith, D., Halevi, S., Jutla, C.S.: Cryptanalysis of stream ciphers with linear masking. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol. 2442, pp. 515–532. Springer, Heidelberg (2002)
De Canniere, C.: eSTREAM testing framework (2006), Available on-line at: http://www.ecrypt.eu.org/stream
Gillman, D.: A Chernoff bound for random walks on expander graphs. SIAM J. Comput. 27(4), 1203–1220 (1998)
Golić, J.: Linear statistical weakness of alleged RC4 keystream generator. In: Fumy, W. (ed.) EUROCRYPT 1997. LNCS, vol. 1233, pp. 226–238. Springer, Heidelberg (1997)
Halevi, S., Coppersmith, D., Jutla, C.: Scream: a Software-Efficient Stream Cipher. In: Daemen, J., Rijmen, V. (eds.) FSE 2002. LNCS, vol. 2365, pp. 195–209. Springer, Heidelberg (2002)
Hong, J., Sarkar, P.: Rediscovery of Time Memory Tradeoffs (2005), Available online at: http://eprint.iacr.org/2005/090
Hoory, S., Linial, N., Wigderson, A.: Expander graphs and their applications. Bull. Amer. Math. Soc. 43, 439–561 (2006)
Jao, D., Miller, S., Venkatesan, R.: Do All Elliptic Curves of the Same Order Have the Same Difficulty of Discrete Log? In: Roy, B. (ed.) ASIACRYPT 2005. LNCS, vol. 3788, pp. 21–40. Springer, Heidelberg (2005)
Kim, S., Umeno, K., Hasegawa, A.: Corrections of the NIST statistical test suite for randomness, Cryptology ePrint Archive, Report 2004/018 (2004)
Klimov, A., Shamir, A.: A New Class of Invertible Mappings. In: Kaliski Jr., B.S., Koç, Ç.K., Paar, C. (eds.) CHES 2002. LNCS, vol. 2523, pp. 470–483. Springer, Heidelberg (2003)
Klimov, A., Shamir, A.: New Cryptographic Primitives Based on Multiword T-Functions. In: Roy, B., Meier, W. (eds.) FSE 2004. LNCS, vol. 3017, pp. 1–15. Springer, Heidelberg (2004)
Knudsen, L., et al.: Analysis Methods for (Alleged) RC4. In: Ohta, K., Pei, D. (eds.) ASIACRYPT 1998. LNCS, vol. 1514, pp. 327–341. Springer, Heidelberg (1998)
Lubotzky, A., Phillips, R., Sarnak, P.: Explicit expanders and the Ramanujan conjectures. In: Proc. of STOC 1986, pp. 240–246 (1986)
Mantin, I., Shamir, A.: A practical attack on broadcast RC4. In: Matsui, M. (ed.) FSE 2001. LNCS, vol. 2355, pp. 152–164. Springer, Heidelberg (2002)
Marsaglia, G.: DIEHARD battery of tests, Available from: http://stat.fsu.edu/~geo/
Mironov, I. (Not so) random shuffles of RC4. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol. 2442, pp. 304–319. Springer, Heidelberg (2002)
Preneel, B., et al.: NESSIE Security Report, version 2.0 (2003)
Rogaway, P., Coppersmith, D.: A Software-Optimized Encryption Algorithm. J. of Cryptology 11(4), 273–287 (1998)
Rukhin, A., Soto, J., Nechvatal, J., Smid, M., Barker, E., Leigh, S., Levenson, M., Vangel, M., Banks, D., Heckert, A., Dray, J., Vo, S.: A statistical test suite for random and pseudorandom number generators for cryptographic applications, NIST Special Publication 800-22 (2001), http://www.nist.gov
Schneier, B.: Applied Cryptography: Protocols, Algorithms, and Source Code in C, 2nd edn. John Wiley & Sons, Chichester (1995)
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Keller, N., Miller, S.D., Mironov, I., Venkatesan, R. (2006). MV3: A New Word Based Stream Cipher Using Rapid Mixing and Revolving Buffers. In: Abe, M. (eds) Topics in Cryptology – CT-RSA 2007. CT-RSA 2007. Lecture Notes in Computer Science, vol 4377. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11967668_1
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DOI: https://doi.org/10.1007/11967668_1
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