Bent Functions
Bent Functions
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DOI：
10.1007/978-3-319-32595-8
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
Sihem Mesnager
中科院分区：
文献类型：
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作者：
Sihem Mesnager
布尔函数是离散数学中的重要对象。它们在数学和计算机科学的几乎所有领域都发挥着作用。在这本书中，我们主要感兴趣的是它们与纠错码和私钥密码学的关系。在数学上，本书主要讨论布尔函数在有限域上的单变量表示。有限域理论是现代代数的一个分支，由于其在组合学、编码理论和密码学等方面的广泛应用而在过去的60年中脱颖而出。
Boolean functions are important objects in discrete mathematics. They play a role in mathematics and almost all the domains of computer science. In this book, we are mainly interested in their relationships with error-correcting codes and privatekey cryptography. Mathematically, Boolean functions are mostly considered in this book in their univariate representations over finite fields. The theory of finite fields is a branch of modern algebra that has come to the fore in the last 60 years because of its diverse applications in combinatorics, coding theory, and cryptology, among others.