Knudsen, L., Wagner, D.: Integral cryptanalysis. In: Daemen, J., Rijmen, V. (eds.) FSE 2002. LNCS, vol. 2365, pp. 112–127. Springer, Heidelberg (2002). https://doi. org/10.1007/3-540-45661-9 9
Daemen, J., Knudsen, L., Rijmen, V.: The block cipher Square. In: Biham, E. (ed.) FSE 1997. LNCS, vol. 1267, pp. 149–165. Springer, Heidelberg (1997). https://doi. org/10.1007/BFb0052343
Lai, X.: Higher order derivatives and differential cryptanalysis. In: Blahut, R.E., Costello, D.J., Maurer, U., Mittelholzer, T. (eds.) Communications and Cryptography. SECS, vol. 276, pp. 227–233. Springer, Boston (1994). https://doi.org/10. 1007/978-1-4615-2694-0 23
Todo, Y.: Structural evaluation by generalized integral property. In: Oswald, E., Fischlin, M. (eds.) EUROCRYPT 2015, Part I. LNCS, vol. 9056, pp. 287–314. Springer, Heidelberg (2015). https://doi.org/10.1007/978-3-662-46800-5 12
Todo, Y.: Integral cryptanalysis on full MISTY1. In: Gennaro, R., Robshaw, M. (eds.) CRYPTO 2015, Part I. LNCS, vol. 9215, pp. 413–432. Springer, Heidelberg (2015). https://doi.org/10.1007/978-3-662-47989-6 20
Sasaki, Y., Todo, Y.: New differential bounds and division property of Lilliput: block cipher with extended generalized Feistel network. In: Avanzi, R., Heys, H. (eds.) SAC 2016. LNCS, vol. 10532, pp. 264–283. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-69453-5 15
Todo, Y., Morii, M.: Bit-based division property and application to Simon family. In: Peyrin, T. (ed.) FSE 2016. LNCS, vol. 9783, pp. 357–377. Springer, Heidelberg (2016). https://doi.org/10.1007/978-3-662-52993-5 18
Sugio, N., Igarashi, Y., Kaneko, T., Higuchi, K.: New integral characteristics of KASUMI derived by division property. In: Choi, D., Guilley, S. (eds.) WISA 2016. LNCS, vol. 10144, pp. 267–279. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-56549-1 23
Xiang, Z., Zhang, W., Bao, Z., Lin, D.: Applying MILP method to searching integral distinguishers based on division property for 6 lightweight block ciphers. In: Cheon, J.H., Takagi, T. (eds.) ASIACRYPT 2016, Part I. LNCS, vol. 10031, pp. 648–678. Springer, Heidelberg (2016). https://doi.org/10.1007/978-3-662-538876 24
Sun, L., Wang, W., Wang, M.: Automatic search of bit-based division property for ARX ciphers and word-based division property. In: Takagi, T., Peyrin, T. (eds.) ASIACRYPT 2017, Part I. LNCS, vol. 10624, pp. 128–157. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-70694-8 5
Todo, Y., Isobe, T., Hao, Y., Meier, W.: Cube attacks on non-blackbox polynomials based on division property. In: Katz, J., Shacham, H. (eds.) CRYPTO 2017, Part III. LNCS, vol. 10403, pp. 250–279. Springer, Cham (2017). https://doi.org/10. 1007/978-3-319-63697-9 9
Wang, Q., Hao, Y., Todo, Y., Li, C., Isobe, T., Meier, W.: Improved division property based cube attacks exploiting algebraic properties of superpoly. In: Shacham, H., Boldyreva, A. (eds.) CRYPTO 2018, Part I. LNCS, vol. 10991, pp. 275–305. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-96884-1 10
Bernstein, D.J., et al.: Gimli: a cross-platform permutation. In: Fischer, W., Homma, N. (eds.) CHES 2017. LNCS, vol. 10529, pp. 299–320. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-66787-4 15
Banik, S., Pandey, S.K., Peyrin, T., Sasaki, Y., Sim, S.M., Todo, Y.: GIFT: a small present-towards reaching the limit of lightweight encryption. In: Fischer, W., Homma, N. (eds.) CHES 2017. LNCS, vol. 10529, pp. 321–345. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-66787-4 16
Wang, Q., Liu, Z., Varici, K., Sasaki, Y., Rijmen, V., Todo, Y.: Cryptanalysis of reduced-round SIMON32 and SIMON48. In: Meier, W., Mukhopadhyay, D. (eds.) INDOCRYPT 2014. LNCS, vol. 8885, pp. 143–160. Springer, Cham (2014). https://doi.org/10.1007/978-3-319-13039-2 9
Hu, K., Wang, M.: Automatic search for a variant of division property using three subsets. In: Matsui, M. (ed.) CT-RSA 2019. LNCS, vol. 11405, pp. 412–432. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-12612-4 21
Wang, S., Hu, B., Guan, J., Zhang, K., Shi, T.: MILP-aided method of searching division property using three subsets and applications. In: Galbraith, S.D., Moriai, S. (eds.) ASIACRYPT 2019, Part III. LNCS, vol. 11923, pp. 398–427. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-34618-8 14
Dinur, I., Shamir, A.: Cube attacks on tweakable black box polynomials. In: Joux, A. (ed.) EUROCRYPT 2009. LNCS, vol. 5479, pp. 278–299. Springer, Heidelberg (2009). https://doi.org/10.1007/978-3-642-01001-9 16
Ye, C.D., Tian, T.: Revisit division property based cube attacks: key-recovery or distinguishing attacks? IACR Trans. Symm. Cryptol. 2019(3), 81–102 (2019)
Fu, X., Wang, X., Dong, X., Meier, W.: A key-recovery attack on 855-round Trivium. In: Shacham, H., Boldyreva, A. (eds.) CRYPTO 2018, Part II. LNCS, vol. 10992, pp. 160–184. Springer, Cham (2018). https://doi.org/10.1007/978-3-31996881-0 6
Hamann, M., Krause, M.: On stream ciphers with provable beyond-the-birthdaybound security against time-memory-data tradeoff attacks. Cryptogr. Commun. 10(5), 959–1012 (2018). https://doi.org/10.1007/s12095-018-0294-5
Todo, Y., Isobe, T., Meier, W., Aoki, K., Zhang, B.: Fast correlation attack revisited-cryptanalysis on full Grain-128a, Grain-128, and Grain-v1. In: Shacham, H., Boldyreva, A. (eds.) CRYPTO 2018, Part II. LNCS, vol. 10992, pp. 129–159. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-96881-0 5