Abstract
The ZUC algorithm is a new stream cipher, which is the core of the standardised 3GPP confidentiality and integrity algorithms 128-EEA3 & 128-EIA3. In this paper, we analyze the initialization stage of ZUC v1.5. First of all, we study the differential properties of operations in ZUC v1.5, including the bit-reorganization, exclusive-or and addition modulo 2n, bit shift and the update of LFSR. And then we give a differential trail covering 24 rounds of the initialization stage of ZUC v1.5 with probability 2− 23.48, which extends the differential given in the design and evaluation report of ZUC v1.5 to four more rounds. Nevertheless, the study shows that the stream cipher ZUC v1.5 can still resist against chosen-IV attacks.
This work was supported by the National Natural Science Foundation of China (Grant No. 60970152, 60833008 and 60902024), the National 973 Program of China (Grant No. 2011CB302400 and 2007CB807902) and Grand Project of Institute of Software (Grant No. YOCX285056).
This work had been presented informally at the Second International Workshop on ZUC Algorithm and Related Topics without proceedings.
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References
ETSI/SAGE: Specification of the 3GPP Confidentiality and Integrity Algorithms 128-EEA3 & 128-EIA3, Document 2: ZUC Specification, Version 1.5 (January 4, 2011), http://gsmworld.com/documents/EEA3_EIA3_ZUC_v1_5.pdf
ETSI/SAGE: Specification of the 3GPP Confidentiality and Integrity Algorithms 128-EEA3 & 128-EIA3, Document 1: 128-EEA3 and 128-EIA3 Specification, Version 1.5 (January 4, 2011), http://gsmworld.com/documents/EEA3_EIA3_specification_v1_5.pdf
ETSI/SAGE: Specification of the 3GPP Confidentiality and Integrity Algorithms 128-EEA3 & 128-EIA3, Document 4: Design and Evaluation Report, Version 1.3 (January 18, 2011), http://gsmworld.com/documents/EEA3_EIA3_Design_Evaluation_v1_3.pdf
Englund, H., Johansson, T., Sönmez Turan, M.: A Framework for Chosen IV Statistical Analysis of Stream Ciphers. In: Srinathan, K., Rangan, C.P., Yung, M. (eds.) INDOCRYPT 2007. LNCS, vol. 4859, pp. 268–281. Springer, Heidelberg (2007)
Fischer, S., Khazaei, S., Meier, W.: Chosen IV Statistical Analysis for Key Recovery Attacks on Stream Ciphers. In: Vaudenay, S. (ed.) AFRICACRYPT 2008. LNCS, vol. 5023, pp. 236–245. Springer, Heidelberg (2008)
Biham, E., Shamir, A.: Differential Cryptanalysis of DES-like Cryptosystems. In: Menezes, A., Vanstone, S.A. (eds.) CRYPTO 1990. LNCS, vol. 537, pp. 2–21. Springer, Heidelberg (1991)
Li, J.: Improved Differential Paths on ZUC. Appear in the First International Workshop on ZUC Algorithm (December 2010)
Li, J.: Differential analysis of ZUC. Appear in the Second International Workshop on ZUC Algorithm and Related Topics (June 2011)
Sun, B., Tang, X., Li, C.: Preliminary Cryptanalysis Results of ZUC. Appear in the First International Workshop on ZUC Algorithm (December 2010)
Wu, H.: Cryptanalysis of the Stream Cipher ZUC in the 3GPP Confidentiality & Integrity Algorithms 128-EEA3 & 128-EIA3. Appear at the sump session in ASIACRYPT (2010)
Mouha, N., Velichkov, V., De Cannière, C., Preneel, B.: The Differential Analysis of S-Functions. In: Biryukov, A., Gong, G., Stinson, D.R. (eds.) SAC 2010. LNCS, vol. 6544, pp. 36–56. Springer, Heidelberg (2011)
Velichkov, V., Mouha, N., De Cannière, C., Preneel, B.: The Additive Differential Probability of ARX. In: Joux, A. (ed.) FSE 2011. LNCS, vol. 6733, pp. 342–358. Springer, Heidelberg (2011)
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Zhou, C., Feng, X., Lin, D. (2011). The Initialization Stage Analysis of ZUC v1.5. In: Lin, D., Tsudik, G., Wang, X. (eds) Cryptology and Network Security. CANS 2011. Lecture Notes in Computer Science, vol 7092. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25513-7_5
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DOI: https://doi.org/10.1007/978-3-642-25513-7_5
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