Efficient Collision Attack Frameworks for RIPEMD-160 Fukang Liu1;6, Christoph Dobraunig2;3, Florian Mendel4, Takanori Isobe5;6, Gaoli Wang1?, and Zhenfu Cao1? 1 Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai, China
[email protected],fglwang,
[email protected] 2 Graz University of Technology, Austria 3 Radboud University, Nijmegen, The Netherlands
[email protected] 4 Infineon Technologies AG, Germany
[email protected] 5 National Institute of Information and Communications Technology, Japan 6 University of Hyogo, Japan
[email protected] Abstract. RIPEMD-160 is an ISO/IEC standard and has been applied to gen- erate the Bitcoin address with SHA-256. Due to the complex dual-stream struc- ture, the first collision attack on reduced RIPEMD-160 presented by Liu, Mendel and Wang at Asiacrypt 2017 only reaches 30 steps, having a time complexity of 270. Apart from that, several semi-free-start collision attacks have been published for reduced RIPEMD-160 with the start-from-the-middle method. Inspired from such start-from-the middle structures, we propose two novel efficient collision at- tack frameworks for reduced RIPEMD-160 by making full use of the weakness of its message expansion. Those two frameworks are called dense-left-and-sparse- right (DLSR) framework and sparse-left-and-dense-right (SLDR) framework. As it turns out, the DLSR framework is more efficient than SLDR framework since one more step can be fully controlled, though with extra 232 memory complexi- ty. To construct the best differential characteristics for the DLSR framework, we carefully build the linearized part of the characteristics and then solve the cor- responding nonlinear part using a guess-and-determine approach.