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Titlebook: Bent Functions; Fundamentals and Res Sihem Mesnager Book 2016 Springer International Publishing Switzerland 2016 Bent functions.Boolean fun

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发表于 2025-3-21 19:40:33 | 显示全部楼层 |阅读模式
期刊全称Bent Functions
期刊简称Fundamentals and Res
影响因子2023Sihem Mesnager
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发行地址Provides a detailed survey of leading results in bent functions.Presents a systematic overview of their generalizations and applications.Considers open problems in classification and systematization o
图书封面Titlebook: Bent Functions; Fundamentals and Res Sihem Mesnager Book 2016 Springer International Publishing Switzerland 2016 Bent functions.Boolean fun
影响因子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..
Pindex Book 2016
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发表于 2025-3-21 23:16:35 | 显示全部楼层
Mathematical Foundations, of some results that are of importance mainly because of their use in applications and state some standard results without proof. For basic algebraic concepts, we send the reader to the excellent book of R. Lidl and H. Niederreiter [14].
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Bent Functions: Primary Constructions (Part I),Rothaus [36] writes that such functions are “given explicitly”)—these constructions are nowadays called primary—and those, called secondary (Rothaus [36] writes “having implicit features”), which need bent functions as initial functions for building new ones (in the same or larger number of variable
发表于 2025-3-22 16:39:25 | 显示全部楼层
Bent Vectorial Functions,are the Boolean functions . ∘ ., where . ranges over the set of all the nonzero linear forms over .. Equivalently, they are the linear combinations of a non-null number of their coordinate functions, that is, the functions of the form ., where “⋅ ” denotes the usual inner product in . (or any other
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Linear Codes from Bent, Semi-bent and Almost Bent Functions,communication systems, data storage devices (starting from the use of Reed Solomon codes in CDs) and consumer electronics. Certain special types of functions over finite fields and vector spaces over finite fields are closely related to linear or nonlinear codes. For instance, Kerdock codes (see [.]
发表于 2025-3-23 06:30:32 | 显示全部楼层
Sihem MesnagerProvides a detailed survey of leading results in bent functions.Presents a systematic overview of their generalizations and applications.Considers open problems in classification and systematization o
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