Abstract
Integral distinguisher is the main factor of integral attack. Conventionally, first order integral distinguisher is obtained and higher order integral distinguisher is derived from extension of first order (conventional algorithm). The algorithm was applied to many byte-based block ciphers, and such application was thought to be established. Even in such application, however, we find that the conventional algorithm is imprecise. We discovered integral distinguisher of byte-based block ciphers, TWINE and LBlock, which are different from results of the conventional evaluation. As a substitute for the imprecise algorithm, we propose a new algorithm to search higher order integral distinguisher. The point of the proposal algorithm is exploitation of bijective and injective components of cipher functions. We focus on injective components for the first time, in addition to bijective components which are already exploited. We demonstrate the proposal algorithm by TWINE and LBlock. As a result, we confirm the result of the proposal algorithm is consistent with our result which was conjectured from computer experiment. Obtaining more precise integral distinguisher allows designers to select stronger cipher structures and key schedules, and the proposal algorithm contributes to it.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Daemen, J., Knudsen, L.R., Rijmen, V.: The block cipher SQUARE. In: Biham, E. (ed.) FSE 1997. LNCS, vol. 1267, pp. 149–165. Springer, Heidelberg (1997). http://dx.doi.org/10.1007/BFb0052343
Ferguson, N., Kelsey, J., Lucks, S., Schneier, B., Stay, M., Wagner, D., Whiting, D.: Improved cryptanalysis of Rijndael. In: Schneier, B. (ed.) FSE 2000. LNCS, vol. 1978, pp. 213–230. Springer, Heidelberg (2001). http://dx.doi.org/10.1007/3-540-44706-7_15
Knudsen, L., Wagner, D.: Integral cryptanalysis. In: Daemen, J., Rijmen, V. (eds.) FSE 2002. LNCS, vol. 2365, pp. 112–127. Springer, Heidelberg (2002). http://dx.doi.org/10.1007/3-540-45661-9_9
Kosuge, H., Tanaka, H., Iwai, K., Kurokawa, T.: Computational security evaluation of light-weight block cipher against integral attack by gpgpu. In: The 2nd IEEE International Conference on Cyber Security and Cloud Computing
Sasaki, Y., Wang, L.: Comprehensive study of integral analysis on 22-round LBlock. In: Kwon, T., Lee, M.-K., Kwon, D. (eds.) ICISC 2012. LNCS, vol. 7839, pp. 156–169. Springer, Heidelberg (2013). http://dx.doi.org/10.1007/978-3-642-37682-5_12
Sony Corporation: The 128-bit blockcipher CLEFIA security and performance evaluations revision 1.0 (2007). http://www.sony.net/Products/cryptography/clefia/download/data/clefia-eval-1.0.pdf
Suzaki, T., Minematsu, K., Morioka, S., Kobayashi, E.: TWINE: a lightweight block cipher for multiple platforms. In: Knudsen, L.R., Wu, H. (eds.) SAC 2012. LNCS, vol. 7707, pp. 339–354. Springer, Heidelberg (2013). http://dx.doi.org/10.1007/978-3-642-35999-6_22
Wu, W., Zhang, L.: LBlock: a lightweight block cipher. In: Lopez, J., Tsudik, G. (eds.) ACNS 2011. LNCS, vol. 6715, pp. 327–344. Springer, Heidelberg (2011). http://dx.doi.org/10.1007/978-3-642-21554-4_19
Zhang, W., Su, B., Wu, W., Feng, D., Wu, C.: Extending higher-order integral: an efficient unified algorithm of constructing integral distinguishers for block ciphers. In: Bao, F., Samarati, P., Zhou, J. (eds.) ACNS 2012. LNCS, vol. 7341, pp. 117–134. Springer, Heidelberg (2012). http://dx.doi.org/10.1007/978-3-642-31284-7_8
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Kosuge, H., Iwai, K., Tanaka, H., Kurokawa, T. (2015). Search Algorithm of Precise Integral Distinguisher of Byte-Based Block Cipher. In: Jajoda, S., Mazumdar, C. (eds) Information Systems Security. ICISS 2015. Lecture Notes in Computer Science(), vol 9478. Springer, Cham. https://doi.org/10.1007/978-3-319-26961-0_18
Download citation
DOI: https://doi.org/10.1007/978-3-319-26961-0_18
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-26960-3
Online ISBN: 978-3-319-26961-0
eBook Packages: Computer ScienceComputer Science (R0)