Results 11 to 20 of about 20 (20)

Using Inclusion / Exclusion to find Bent and Balanced Monomial Rotation Symmetric Functions

Journal of Mathematical Cryptology, 2021
There are many cryptographic applications of Boolean functions. Recently, research has been done on monomial rotation symmetric (MRS) functions which have useful cryptographic properties.
Reid Elizabeth M.
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On the confusion coefficient of Boolean functions

Journal of Mathematical Cryptology, 2021
The notion of the confusion coefficient is a property that attempts to characterize confusion property of cryptographic algorithms against differential power analysis. In this article, we establish a relationship between the confusion coefficient and the
Zhou Yu, Hu Jianyong, Miao Xudong, Han Yu, Zhang Fuzhong   +4 more
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On the algebraic immunity of multiplexer Boolean functions

Journal of Mathematical Cryptology, 2022
A multiplexer generator is a device that accepts two or more inputs and based on some logic sends one of them as output. In a special case when inputs to a multiplexer generator are 2k{2}^{k} bits and one of them is selected according to the value of a ...
Mishra Prasanna R., Pandey Shashi Kant
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On cryptographic properties of (n + 1)-bit S-boxes constructed by known n-bit S-boxes

Journal of Mathematical Cryptology, 2020
S-box is the basic component of symmetric cryptographic algorithms, and its cryptographic properties play a key role in security of the algorithms.
Zhou Yu, Mu Daoguang, Dong Xinfeng
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Theory of 3-rotation symmetric cubic Boolean functions

Journal of Mathematical Cryptology, 2015
Rotation symmetric Boolean functions have been extensively studied in the last 15 years or so because of their importance in cryptography and coding theory.
Cusick Thomas W., Cheon Younhwan
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Cryptographic properties of monotone Boolean functions

Journal of Mathematical Cryptology, 2016
We prove various results on monotone Boolean functions. In particular, we prove a conjecture proposed recently, stating that there are no monotone bent Boolean functions.
Carlet Claude, Joyner David, Stănică Pantelimon, Tang Deng   +3 more
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Affine equivalence of monomial rotation symmetric Boolean functions: A Pólya’s theorem approach

Journal of Mathematical Cryptology, 2016
Two Boolean functions are affine equivalent if one can be obtained from the other by applying an affine transformation to the input variables. For a long time, there have been efforts to investigate the affine equivalence of Boolean functions. Due to the
Cusick Thomas W., Lakshmy K. V., Sethumadhavan M.   +2 more
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Hypercontractivity on the symmetric group

Forum of Mathematics, Sigma
The hypercontractive inequality is a fundamental result in analysis, with many applications throughout discrete mathematics, theoretical computer science, combinatorics and more.
Yuval Filmus, Guy Kindler, Noam Lifshitz, Dor Minzer   +3 more
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Characterizing the upper bound on the transparency order of (n, m)-functions

Journal of Mathematical Cryptology
Transparency order (TO{\mathcal{TO}}) is one of the indicators used to measure the resistance of (n,m)\left(n,m)-function to differential power analysis.
Zhou Yu, Wu You, Shen Bing, Wang Jinbo, Cheng Rong   +4 more
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Super-De Morgan functions and free De Morgan quasilattices

Open Mathematics, 2014
Movsisyan Yuri, Aslanyan Vahagn
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