Bent Functions: Fundamentals and Results
Bent Functions: Fundamentals and Results
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发表时间：
2016-08
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通讯作者：
Sihem Mesnager
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作者：
Sihem Mesnager
这本书详细地综述了有限域上Bent函数的主要结果，系统地概述了它们的推广、变体和应用，讨论了Bent函数的分类和系统化中的公开问题，并讨论了几个结果的证明。这本书独一无二地提供了对Bent函数的必要的全面覆盖。它为离散数学、编码和密码学的研究人员提供了有用的参考。数学和计算机科学的学生和教授也会发现这些内容很有价值，特别是那些对密码学的数学基础感兴趣的人。它可以作为大学离散数学、布尔函数或密码学课程的补充文本，适用于本科生的基础课程以及密码学和数学专家的高级课程。
This book gives a detailed survey of the main results on bent functions over finite fields, presents a systematic overview of their generalizations, variations and applications, considers open problems in classification and systematization of bent functions, and discusses proofs of several results. This book uniquely provides a necessary comprehensive coverage of bent functions. It serves as a useful reference for researchers in discrete mathematics, coding and cryptography. Students and professors in mathematics and computer science will also find the content valuable, especially those interested in mathematical foundations of cryptography. It can be used as a supplementary text for university courses on discrete mathematics, Boolean functions, or cryptography, and is appropriate for both basic classes for under-graduate students and advanced courses for specialists in cryptography and mathematics.