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Titlebook: Construction and Analysis of Cryptographic Functions; Lilya Budaghyan Book 2014 Springer International Publishing Switzerland 2014 Almost

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发表于 2025-3-21 16:11:15 | 显示全部楼层 |阅读模式
书目名称Construction and Analysis of Cryptographic Functions
编辑Lilya Budaghyan
视频videohttp://file.papertrans.cn/237/236066/236066.mp4
概述Examines two cryptographic functions which combat two of the most powerful attacks on symmetric cryptosystems.Demonstrates new methods for construction of these functions.Presents novel research used
图书封面Titlebook: Construction and Analysis of Cryptographic Functions;  Lilya Budaghyan Book 2014 Springer International Publishing Switzerland 2014 Almost
描述This book covers novel research on construction and analysis of optimal cryptographic functions such as almost perfect nonlinear (APN), almost bent (AB), planar and bent functions. These functions have optimal resistance to linear and/or differential attacks, which are the two most powerful attacks on symmetric cryptosystems. Besides cryptographic applications, these functions are significant in many branches of mathematics and information theory including coding theory, combinatorics, commutative algebra, finite geometry, sequence design and quantum information theory. The author analyzes equivalence relations for these functions and develops several new methods for construction of their infinite families. In addition, the book offers solutions to two longstanding open problems, including the problem on characterization of APN and AB functions via Boolean, and the problem on the relation between two classes of bent functions.
出版日期Book 2014
关键词Almost bent function; Almost perfect nonlinear function; Bent function; Boolean function; CCZ-equivalenc
版次1
doihttps://doi.org/10.1007/978-3-319-12991-4
isbn_softcover978-3-319-36358-5
isbn_ebook978-3-319-12991-4
copyrightSpringer International Publishing Switzerland 2014
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发表于 2025-3-21 21:34:37 | 显示全部楼层
发表于 2025-3-22 00:48:19 | 显示全部楼层
f their infinite families. In addition, the book offers solutions to two longstanding open problems, including the problem on characterization of APN and AB functions via Boolean, and the problem on the relation between two classes of bent functions.978-3-319-36358-5978-3-319-12991-4
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发表于 2025-3-22 12:45:18 | 显示全部楼层
978-3-319-36358-5Springer International Publishing Switzerland 2014
发表于 2025-3-22 15:42:27 | 显示全部楼层
Beispiele zur Kenntafelermittlung,ion . which has some bent components. We also solve an open problem proposed by Carlet, Charpin and Zinoviev in 1998 on characterization of APN and AB functions via Boolean functions, and a longstanding problem introduced by Dillon in 1974 about relation between two classes of bent functions..Furthe
发表于 2025-3-22 17:40:30 | 显示全部楼层
,Kenntafeln für Antriebsverhältnisse,hese families of planar functions define new commutative semifields. After the works of Dickson (1906) and Albert (1952), these were the firstly found infinite families of commutative semifields which are defined for all odd primes ...One of these families has been constructed by extension of a know
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发表于 2025-3-23 01:44:22 | 显示全部楼层
,Kenntafeln für Antriebsverhältnisse,In this chapter we present all necessary definitions and preliminary results on cryptographic functions which are used throughout this book.
发表于 2025-3-23 06:49:21 | 显示全部楼层
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