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关于布尔函数代数免疫性的讨论

ON Discussion of Algebraic Immunity of Boolean Function
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摘要 主要讨论密码学中布尔函数性质,并提出了一个具有高代数免疫阶布尔函数的构造方法,利用这种方法可以构造一大类具有高代数免疫阶的布尔函数,并给出一些实例。 A construction of Boolean Function is proposed based on cryptograph properties of Boolean Function.A new series of functions are built by this method,and the functions have good algebraic immunity.In the end,we give some examples.
作者 耿海峰
机构地区 四川大学
出处 《廊坊师范学院学报（自然科学版）》 2011年第3期8-10,共3页 Journal of Langfang Normal University(Natural Science Edition)
关键词 布尔函数 代数免疫阶 零化子 Boolean Function Algebraic Immunity Annihilators conservation condition
分类号 TN918 [电子电信—通信与信息系统]
  • 相关文献

参考文献5

  • 1Courtois N, Meier W. Algebraic attacks on stream cipers with linear feedback [ M ]. Springer-Verlag, 2003 : 345 - 359.
  • 2Cadet C, Dalai D K, Gupta K C, et al. algebraic immunity for cryptographicaUy signi? cant boolean functions:analysis and construction [ J]. IEEE Transactions on Information Theory,2006,52(7) :3105 - 3121.
  • 3莫骄,温巧燕.具有最高代数免疫阶的布尔函数的构造[J].北京邮电大学学报,2009,32(4):73-76. 被引量：5
  • 4徐春霞,陈卫红,张凤芹.布尔函数零化子的构造及其在流密码中的应用[J].信息工程大学学报,2006,7(2):125-127. 被引量：3
  • 5Dalai D K, Gupta K C, S. Maitra. results on algebraic im- munity for cryptographically significant boolean functions [ M ]. Springer- Verlag, 2004 : 92 - 106.

二级参考文献12

  • 1Courtois N, Meier W. Algebraic attacks on stream ciphers with linear feedback [ C ]//Advances in Cryptology-EU- ROCRYPT 2003. Warsaw: Springer Verlag, 2003: 345-359.
  • 2Carlet C, Dalai D K, Gupta K C, et al. Algebraic immunity for cryptographically significant Boolean functions: analysis and construction[J]. IEEE Transactions on Information Theory, 2006, 52(7): 3105-3121.
  • 3Carlet C. On the higher order nonlinearities of algebraic immune functions[C]// Proceedings of CRYPTO 2006. Santa Barbara: Springer Verlag, 2006: 584-601.
  • 4Dalai D K, Gupta K C, Maitra S. Results on algebraic immunity for cryptographically significant Boolean functions [ C] // Indocrypt 2004. Chennai : Springer Verlag, 2004 : 92-106.
  • 5Dalai D K, Gupta K C, Maitra S. Cryptographically significant Boolean functions: construction and analysis in terms of algebraic immunity [ C] //Workshop on Fast Software Encryption, FSE 2005. Paris: Springer-Vet- lag, 2005: 98-111.
  • 6Li Na, Qu Long3iang, Qi Wenfeng, et al. On the construction of Boolean functions with optimal algebraic im- munity[J]. IEEE Transactions on Information Theory, 2008, 54(3): 1330-1334.
  • 7Li Na, Qi Wenfeng. Symmetric Boolean functions depending on an odd number of variables with maximum algebraic immunity[J]. IEEE Transactions on Information Theory, 2006, 52(5) : 2271-2273.
  • 8Li Na, Qi Wenfeng. Construction and analysis of Boolean functions of 2t + 1 variables with maximum algebraic immunity[C]//Proceedings of Asiacrypt 2006. Shanghai: Springer Verlag, 2006: 84-98.
  • 9Nicolas Courtois.Willi Meier:Algebraic attacks on Stream Ciphers with Linear Feedback[C]//Proceedings of Eurocrypt 2003.LNCS 2656.springer,2003:345-359.
  • 10Frederik Armknecht.On the Existence of low degree Equations for Algebraic Attacks[J/OL].http://eprint.iacr.org/2004/185.pdf

共引文献6

廊坊师范学院学报（自然科学版）
2011年 第3期

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