A Lower Bound on the Number of Boolean Functions with Median Correlation Immunity

机译：具有中位数相关免疫性的布尔函数数目的下界

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摘要

The number of n-ary balanced correlation immune (resilient) Boolean functions of order $frac{n}{2}$ is not less than n

机译：$ frac {n} {2} $阶的n元平衡相关免疫（弹性）布尔函数的数目不少于n

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来源
《International Symposium "Problems of Redundancy in Information and Control Systems"》|2019年|45-46|共2页
会议地点 Moscow(RU)
作者
Vladimir N. Potapov;
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作者单位

Sobolev Institute of Mathematics Novosibirsk Russia;

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关键词
Boolean functions; Correlation; Face; Redundancy; Hypercubes; Upper bound; Control systems;

机译：布尔函数；相关性面对;冗余;超立方体上限；控制系统;

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专利

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. A Lower Bound on the Number of Boolean Functions with Median Correlation Immunity [C] . Vladimir N. Potapov International Symposium "Problems of Redundancy in Information and Control Systems" . 2019

机译：具有中值相关性免疫的布尔函数的数量下限
5. Median based principal component analysis for edge detection on color images using partial derivatives of Boolean functions and a new correlated color similarity measure. [D] . Qazi, Sadaf. 2008

机译：基于中值的主成分分析，使用布尔函数的偏导数和新的相关颜色相似性度量对彩色图像进行边缘检测。
6. A lower bound on the number of mechanisms for discriminating fourth and higher order spatial correlations [O] . John WG Seamons, Marconi S Barbosa, Anton Bubna-Litic, 2015

机译：区分四阶和高阶空间相关性的机制数量的下限
7. Improving the high order nonlinearity lower bound for Boolean functions with given algebraic immunity [O] . Rizomiliotis Panagiotis 2010

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
8. Correlation Immunity, Avalanche Features, and Other Cryptographic Properties of Generalized Boolean Functions. [R] . Martinsen, T. 2017

机译：广义布尔函数的相关免疫，雪崩特征和其他密码属性。

A Lower Bound on the Number of Boolean Functions with Median Correlation Immunity

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