A characteristic set method for solving Boolean equations and applications in cryptanalysis of stream ciphers
文献类型：期刊论文
| 作者 | Chai, Fengjuan; Gao, Xiao-Shan ; Yuan, Chunming
|
| 刊名 | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
 |
| 出版日期 | 2008-06-01 |
| 卷号 | 21期号:2页码:191-208 |
| 关键词 | Boolean equation characteristic set method cryptanalysis finite field stream ciphers |
| ISSN号 | 1009-6124 |
| 英文摘要 | This paper presents a characteristic set method for solving Boolean equations, which is more efficient and has better properties than the general characteristic set method. In particular, the authors give a disjoint and monic zero decomposition algorithm for the zero set of a Boolean equation system and an explicit formula for the number of solutions of a Boolean equation system. The authors also prove that a characteristic set can be computed with a polynomial number of multiplications of Boolean polynomials in terms of the number of variables. As experiments, the proposed method is used to solve equations from cryptanalysis of a class of stream ciphers based on nonlinear filter generators. Extensive experiments show that the method is quite effective. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000256645900004 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6733]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Chai, Fengjuan |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chai, Fengjuan,Gao, Xiao-Shan,Yuan, Chunming. A characteristic set method for solving Boolean equations and applications in cryptanalysis of stream ciphers[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2008,21(2):191-208. |
| APA | Chai, Fengjuan,Gao, Xiao-Shan,&Yuan, Chunming.(2008).A characteristic set method for solving Boolean equations and applications in cryptanalysis of stream ciphers.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,21(2),191-208. |
| MLA | Chai, Fengjuan,et al."A characteristic set method for solving Boolean equations and applications in cryptanalysis of stream ciphers".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 21.2(2008):191-208. |
入库方式： OAI收割
来源：数学与系统科学研究院
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