id: 05823415 dt: a an: 05823415 au: Buchmann, Johannes; Bulygin, Stanislav; Ding, Jintai; Mohamed, Wael Said Abd Elmageed; Werner, Fabian ti: Practical algebraic cryptanalysis for dragon-based cryptosystems. so: Heng, Swee-Huay (ed.) et al., Cryptology and network security. 9th international conference, CANS 2010, Kuala Lumpur, Malaysia, December 12‒14, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-17618-0/pbk). Lecture Notes in Computer Science 6467, 140-155 (2010). py: 2010 pu: Berlin: Springer la: EN cc: ut: ci: li: doi:10.1007/978-3-642-17619-7_11 ab: Summary: Recently, the Little Dragon Two and Poly-Dragon multivariate based public-key cryptosystems were proposed as efficient and secure schemes. In particular, the inventors of the two schemes claim that Little Dragon Two and Poly-Dragon resist algebraic cryptanalysis. In this paper, we show that MXL2, an algebraic attack method based on the XL algorithm and Ding’s concept of Mutants, is able to break Little Dragon Two with keys of length up to 229 bits and Poly-Dragon with keys of length up to 299. This contradicts the security claim for the proposed schemes and demonstrates the strength of MXL2 and the Mutant concept. This strength is further supported by experiments that show that in attacks on both schemes the MXL2 algorithm outperforms the Magma’s implementation of F4. rv: