On the Studies Related to Linear Codes in Generalized Construction of Resilient Functions with Very High Nonlinearity

机译：关于具有非常高的非线性的综合构造与线性码的研究有关的研究

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Here we briefly survey the state of the art results related to nonlinearity of resilient Boolean functions. We mainly study the existing constructions based on coding theoretic techniques.

机译：在这里，我们简要介绍了与弹性布尔函数的非线性相关的最先进结果。我们主要研究基于编码理论技术的现有结构。

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来源
《NATO Advanced Research Workshop on Enhancing Cryptographic Primitives with Techniques from Error Correcting Codes》|2009年||共10页
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作者
Subhamoy MAITRA;
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中图分类 TP309-532;
关键词
Boolean Functions; Multiple Output; Nonlinearity; Resiliency; Walsh Spectrum;

机译：布尔函数;多输出;非线性;弹性;沃尔什频谱;

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专利

1. Linear codes in generalized construction of resilient functions with very high nonlinearity [J] . Pasalic E., Maitra S. IEEE Transactions on Information Theory . 2002,第8期

机译：具有高度非线性的弹性函数的广义构造中的线性代码
2. Generalized Maiorana–McFarland Construction of Resilient Boolean Functions With High Nonlinearity and Good Algebraic Properties [J] . Zhang W., Pasalic E. Information Theory, IEEE Transactions on . 2014,第10期

机译：具有高非线性和良好代数性质的弹性布尔函数的广义Maiorana-McFarland构造
3. Constructions of Resilient S-Boxes With Strictly Almost Optimal Nonlinearity Through Disjoint Linear Codes [J] . IEEE Transactions on Information Theory . 2014,第3期

机译：通过不相交的线性码构造具有几乎最佳非线性的弹性S盒
4. On the Studies Related to Linear Codes in Generalized Construction of Resilient Functions with Very High Nonlinearity [C] . Subhamoy MAITRA NATO Advanced Research Workshop on Enhancing Cryptographic Primitives with Techniques from Error Correcting Codes . 2009

机译：关于具有非常高的非线性的综合构造与线性码的研究有关的研究
5. Modeling Linear and Nonlinear Single Case Designs with Generalized Linear and Generalized Additive Models: A Simulation Study. [D] . Sullivan, Kristynn Joy. 2015

机译：使用广义线性模型和广义可加模型对线性和非线性单案例设计建模：仿真研究。
6. Generalizing Fishers reproductive value: Incipient and penultimate reproductive-value functions when environment limits growth; linear approximants for nonlinear Mendelian mating models [O] . Paul A. Samuelson 1978

机译：概括费舍尔的生殖价值：当环境限制增长时初始和倒数第二的生殖价值功能；非线性孟德尔匹配模型的线性近似
7. Construction of 1-Resilient Boolean Functions with Very Good Nonlinearity [O] . Soumen Maity, Chrisil Arackaparambil, Kezhasono Meyase 2010

机译：具有非常好的非线性的1-弹性布尔函数的构造

On the Studies Related to Linear Codes in Generalized Construction of Resilient Functions with Very High Nonlinearity

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