Results 21 to 30 of about 51,964 (308)

Symmetric Boolean Functions

open access: yesIEEE Transactions on Information Theory, 2005
We present an extensive study of symmetric Boolean functions, especially of their cryptographic properties. Our main result establishes the link between the periodicity of the simplified value vector of a symmetric Boolean function and its degree.
Canteaut, Anne, Videau, Marion
openaire   +3 more sources

Möbius transforms, coincident Boolean functions and non-coincidence property of Boolean functions [PDF]

open access: yes, 2011
Boolean functions and their Möbius transforms are involved in logical calculation, digital communications, coding theory and modern cryptography. So far, little is known about the relations of Boolean functions and their Möbius transforms.
Wang, Huaxiong   +5 more
core   +1 more source

A Secure Boolean-based Multi-Secret Image Sharing Scheme [PDF]

open access: yes, 2014
Multiple secret images Boolean XORAn (n, n) multi-secret image sharing scheme shares n secret images among n shared images. In this type of schemes, n shared images can be used to recover all n secret images, but the loss of any shared image prevents the
陳建彰; 吳緯杰, 陳建彰
core   +1 more source

On the algebraic immunity of multiplexer Boolean functions

open access: yesJournal 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
doaj   +1 more source

On Resilient Boolean and Vectorial Boolean Functions with High Nonlinearity

open access: yesMathematics, 2022
Boolean functions and vectorial Boolean functions are the most important nonlinear components of stream ciphers. They should satisfy several criteria such as high nonlinearity, proper resiliency and so on to guarantee the security of the whole system ...
Luyang Li   +3 more
doaj   +1 more source

Widening ROBDDs with Prime Implicants: 12th International Conference, TACAS 2006, Held as Part of the Joint European Conferences on Theory and Practice of Software, ETAPS 2006, Vienna, Austria, March 25 - April 2, 2006. Proceedings [PDF]

open access: yes, 2006
Despite the ubiquity of ROBDDs in program analysis, and extensive literature on ROBDD minimisation, there is a dearth of work on approximating ROBDDs.
Kettle, Neil   +5 more
core   +1 more source

Synthesis of combinational circuits by means of bi-decomposition of Boolean functions

open access: yesInformatika, 2022
O b j e c t i v e s . The problem of synthesis of combinational circuits in the basis of two-input gates is considered. Those gates are AND, OR, NAND and NOR.
Yu. V. Pottosin
doaj   +1 more source

Further research results on confusion coefficient of Boolean functions

open access: yesJournal of Mathematical Cryptology, 2023
The notion of confusion coefficient (CC) is a property that attempts to characterize the confusion property of cryptographic algorithms against differential power analysis.
Liu Zhenyu, Zhuo Zepeng
doaj   +1 more source

On the Power of Choice for Boolean Functions

open access: yesSIAM Journal on Discrete Mathematics, 2022
In this paper we consider a variant of the well-known Achlioptas process for graphs adapted to monotone Boolean functions. Fix a number of choices $r\in \mathbb N$ and a sequence of increasing functions $(f_n)_{n\ge 1}$ such that, for every $n\ge 1$, $f_n:\{0,1\}^n\mapsto \{0,1\}$.
Nicolas Fraiman   +2 more
openaire   +3 more sources

Algorithm of reducing the balanced H-Boolean function correlation-measure and research on correlative issue

open access: yesTongxin xuebao, 2010
Took the derivative and e-derivative of Boolean function as a tool,analyzed the inner structure of balanced H-Boolean functions,clearly obtained the conclusion that the second-order correlation-immune balanced H-Boolean function is not existent,solved ...
HE Liang, WANG Zhuo, LI Wei-wei
doaj   +2 more sources

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