Information Technology Journal1812-56381812-5646Asian Network for Scientific Information10.3923/itj.2014.2482.2488CuiJieZhongHongWangJiankaiShiRunhua1220141315In this study, according to the inverse transformation principle and the affine transformation principle of Rijndael S-box, a new approach to generating the multivariate quadratic equation system over GF(2) is proposed and the generation process is given explicitly. According to the algebraic expression of the new Rijndael S-box, an equation system over GF(2^{8}) is proposed to describe Rijndael. By comparing with other existing systems, this system has stronger resistance against algebraic attacks. So, the equation system of the new Rijndael S-box is much securer than other existing equation systems.]]>Zhang, X., Q. Wang, B. Wang and H. Kan,2011Kim, J., S. Hong and B. Preneel,2007Zhang, W., W. Wu, L. Zhang and D. Feng,2007Ghosh, S. and A. Das,2012Murphy, S. and M.J.B. Robshaw,2002Courtois, N.T. and J. Pieprzyk,2002Cheon, J.H. and D.H. Lee,2004Hussain, I., T. Shah, H. Mahmood and M.A. Gondal,2013Li, N. and W. Chen,2004Chen, Q., Z. Tang, Y. Li, Y. Niu and J. Mo,2011Cui, J., L. Huang, H. Zhong, C. Chang and W. Yang,2011Xiao, H.P. and G.J. Zhang,2008Demirci, H., M.S. Sagiroglu and M.O. Kulekci,2013