Bent Functions: An Introduction
Bent Functions: An Introduction
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DOI：
10.1016/b978-0-12-802318-1.00002-9
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
N. Tokareva
中科院分区：
文献类型：
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作者：
N. Tokareva
弯曲功能：结果和应用密码学提供了一个独特的调查对象的离散数学称为布尔弯曲函数。由于这些最大的，非线性布尔函数和他们的推广有许多理论和实际应用在组合学，编码理论和密码学，文本提供了一个详细的调查他们的主要成果，提出了一个系统的概述他们的推广和应用，并考虑开放的问题，在分类和系统化的弯曲功能。本文适合新手和高级研究人员，讨论了几个结果的证明，包括bent函数的自同构群，bent函数数量的下限等等。提供了bent函数及其主要结果的详细调查，对它们的推广和应用进行了系统的概述-对密码学中高度非线性布尔函数领域的数百个结果进行了系统和详细的调查-适合密码学，数学和密码创造者高级专家的学生
Bent Functions: Results and Applications to Cryptography offers a unique survey of the objects of discrete mathematics known as Boolean bent functions. As these maximal, nonlinear Boolean functions and their generalizations have many theoretical and practical applications in combinatorics, coding theory, and cryptography, the text provides a detailed survey of their main results, presenting a systematic overview of their generalizations and applications, and considering open problems in classification and systematization of bent functions. The text is appropriate for novices and advanced researchers, discussing proofs of several results, including the automorphism group of bent functions, the lower bound for the number of bent functions, and more.-Provides a detailed survey of bent functions and their main results, presenting a systematic overview of their generalizations and applications-Presents a systematic and detailed survey of hundreds of results in the area of highly nonlinear Boolean functions in cryptography-Appropriate coverage for students from advanced specialists in cryptography, mathematics, and creators of ciphers