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《Journal of Electronics and Information Technology》 2004-12
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A New System of Multivariate Quadratic Equations for Rijndael

Li Na Chen Wei-hong (Dept of Appl. Math., Info. Eng. Inst., Info. Eng. Univ., Zhengzhou 450002, China)  
Because the algebraic expression of Rijndael S box is a composition of the converse function with a q-polynomial over GF(28), in this paper the variables of S box are supposed rationally and the relations between these variables are analyzed, then a new system of multivariate quadratic equations over GF(28) are used to describe completely Rijndael, the cryptanalysis of Rijndael can be written as a problem of solving the system of multivariate quadratic equations. This system is simpler than Murphy and Robshaw's, and has a lower complexity while applying XSL technique.
【CateGory Index】: TN918.1
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【References】
Chinese Journal Full-text Database 2 Hits
1 Xiao Huang-pei~①Zhang Guo-ji~②~①(School of Computer Science and Engineering,South China University of Technology,Guangzhou 510640,China)~②(School of Mathematical Sciences,South China University of Technology,Guangzhou 510640,China);The Improvement on Algebraic System of Multivariate Quadratic Equations for Rijndael[J];Journal of Electronics & Information Technology;2008-10
2 Zhang Guo-ji1 Xiao Huang-pei2(1.School of Mathematical Sciences,South China University of Technology,Guangzhou 510640,Guangdong,China;2.School of Computer Science and Engineering,South China University of Technology,Guangzhou 510640,Guangdong,China);Quadratic Equations on S-Boxes and a New S-Box Design Criterion[J];Journal of South China University of Technology(Natural Science Edition);2008-08
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 FENG Guo-zhu 1,LI Chao 1,2 ,DUO Lei 1,XIE Duan-qiang 1,DAI Qing-ping 1 ( 1.Dept of Mathematic and System Science,NUDT,Changsha,Hunan 410073,China; 2.Laboratory of Computer Science,Institute of Software,CAS,Beijing 100080,China);Transmutative Rijndael with the Differential and Statistical Charactartics[J];Acta Electronica Sinica;2002-10
2 XIAO Guo zhen 1,BAI En jian 1,LIU Xiao juan 2 (1.P.O.Box 119 Key Lab.on ISN,Xidian Univ.,Xi'an,Shaanxi 710071,China; 2.Department of Applied Mathematics of Xidian Univ.,Xi'an,Shaanxi 710071,China);Some New Developments on the Cryptanalysis of AES[J];Acta Electronica Sinica;2003-10
3 WANG Yan bo (Institute of Communications Engineering,PLA Univ.of Sci.& Tech.,Nanjing 210007, China);Analysis of Structure of AES and its S-box[J];Journal of PLA University of Science and Technology(Natural Science);2002-03
4 WANG Yan bo (Institute of Communications Engineering,PLA Univ.of Sci.& Tech.,Nanjing 210007,China);Property of Affine Transformation in S-box of AES[J];Journal of PLA University of Science and Technology(Natural Science);2003-02
5 MA Hongbo, LIU Lianhao (College of Information Science and Engineering, Central South University, Changsha 410083);Algebraic Expression for AES S-box and InvS-box[J];Computer Engineering;2006-18
6 LIU Lian-hao1,SHEN Zeng-hui1,LIU Shang-li1,2,DUAN Shao-hua1(1.School of Information Science and Engineering,Central South University,Changsha 410083;2.College of Computer Science and Engineering,Hunan University of Science and Technology,Xiangtan 411201);Relationship Between S-box's Resistance to DPA and Nonlinearity[J];Computer Engineering;2008-20
7 WEI Bao-dian, MA Wen-ping, WANG Xin-mei (National Key Lab of Integrated Service Networks, Xidian University, Xi'an 710071, China);Walsh Spectral Analysis of the AES Boolean Functions[J];Computer Engineering & Science;2003-05
8 Wang Haike~1,Fan Yihong~3,Lian Feiyu~2,Zhang Yuan~2,Lv Yunpeng~1 (1.School of Physical Science & Technology,Zhengzhou University,Zhengzhou 450052,China)(2.Henan University of Technology,Zhengzhou 450052,China)(3.Henan University of Science and Technology,Luoyang 471003,China);AES Encryption Algorithm's Application in No Stop Electronic Toll Collection System[J];Computer Measurement & Control;2006-01
9 Yang Xiaohui Dai Zibin Zhang Yongfu Yu Xuerong (Institute of Electronic Technology,The PLA Information Engineering University,Zhengzhou 450004,China);THE RESEARCH AND DESIGN OF RECONFIGURABLE COMPUTING FOR BLOCK CIPHER[J];电子科学学刊(英文版);2008-04
10 LIU Lian-hao1,DUAN Shao-hua1,CUI Jie1,2(1.School of Information Science and Engineering,Central South University,Changsha 410083;2.School of Computer Science and Technology,Anhui University,Hefei 230039);Algebraic Attack Method Based on Grobner Basis[J];Computer Engineering;2008-16
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