Asymptotic lower bound on the algebraic immunity of random balanced multi-output Boolean functions

Carlet C.; Merabet B.

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Asymptotic lower bound on the algebraic immunity of random balanced multi-output Boolean functions

机译：随机平衡多输出布尔函数代数免疫的渐近下界

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摘要

This paper extends the work of F. Didier (IEEE Transactions on Information Theory, Vol. 52(10): 4496-4503, October 2006) on the algebraic immunity of random balanced Boolean functions, into an asymptotic lower bound on the algebraic immunity of random balanced multi-output Boolean functions.

机译：本文将F.Didier（IEEE Transactions on Information Theory，Vol.52（10）：4496-4503，2006年10月）的工作扩展到关于随机平衡布尔函数的代数免疫力的工作，扩展为关于F.Didier的代数免疫力的渐近下界。随机平衡多输出布尔函数。

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《Advances in mathematics of communications》 |2013年第2期|共21页
作者
Carlet C.; Merabet B.;
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正文语种 eng
中图分类数学;
关键词
Algebraic immunity; Boolean functions; Erasure channel; Generalized Hamming distances; Reed-Muller codes; Vectorial functions;

机译：代数抗扰度;布尔函数;擦除通道;广义汉明距离;Reed-Muller码;矢量函数;

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1. Asymptotic lower bound on the algebraic immunity of random balanced multi-output Boolean functions [J] . Carlet C., Merabet B. Advances in mathematics of communications . 2013,第2期

机译：随机平衡多输出布尔函数代数免疫的渐近下界
2. Improving the high order nonlinearity lower bound for Boolean functions with given algebraic immunity [J] . Rizomiliotis P. Discrete Applied Mathematics . 2010,第18期

机译：在给定的代数抗扰度下，提高布尔函数的高阶非线性下界
3. Improving the Lower Bound on the Higher Order Nonlinearity of Boolean Functions With Prescribed Algebraic Immunity [J] . Mesnager S. IEEE Transactions on Information Theory . 2008,第8期

机译：具有指定代数抗扰度的布尔函数的高阶非线性的下界限制
4. Construction and Count of Balanced Algebraic Immune Boolean Functions with Lobanov's Bound of Nonlinearity [C] . Qian-Qiong Wu, Ming Duan, Wei Wang ISAI 2010;International conference on information security and artificial intelligence . 2010

机译：Lobanov非线性边界的平衡代数免疫布尔函数的构造和计数
5. Algebraic function fields with asymptotically many rational places and improvements of the Gilbert-Varshamov bound. [D] . Maharaj, Hiren. 2000

机译：具有渐近许多有理位置的代数函数域和Gilbert-Varshamov界的改进。
6. On optimal fuzzy best proximity coincidence points of fuzzy order preserving proximal Ψ(σ α)-lower-bounding asymptotically contractive mappings in non-Archimedean fuzzy metric spaces [O] . Manuel De la Sen, Mujahid Abbas, Naeem Saleem -1

机译：关于非Archimedean模糊度量空间中保近邻Ψ（σα）-下界渐近收缩映射的模糊阶的最优模糊最佳接近重合点
7. Construction and Count of Balanced Algebraic Immune Boolean Functions with Lobanov's Bound of Nonlinearity [O] . Qian-Qiong Wu, Ming Duan 2010

机译：罗巴诺夫非线性界限均衡代数免疫布尔函数的施工与计数

Asymptotic lower bound on the algebraic immunity of random balanced multi-output Boolean functions

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