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Möbius transforms, coincident Boolean functions and non-coincidence property of Boolean functions
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
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nodef/extra-boolean: A collection of common boolean functions
<p>A collection of common boolean functions.<br> <a href="https://www.npmjs.com/package/extra-boolean">Node.js</a>, <a href="https://www.npmjs.com/package/extra-boolean.web">Web</a>, <a href="https://unpkg.com ...
Subhajit Sahu, George Pickering
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Relationship between correlation immune and weight of H Boolean functions
The Boolean function derivative and e-derivative which together with the derivative so that the weight of Boolean functions can be directly clear characterized and defined as the tools for research and deep into the internal structure of Boolean function
Jing-lian HUANG, Zhuo WANG
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First edition originally published April 2014, in hardcover book format by Cambridge University Press, and electronically on the author's website.
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On the q-bentness of Boolean functions [PDF]
For each non-constant $q$ in the set of $n$-variable Boolean functions, the {\em $q$-transform} of a Boolean function $f$ is related to the Hamming distances from $f$ to the functions obtainable from $q$ by nonsingular linear change of basis. Klapper conjectured that no Boolean function exists with its $q$-transform coefficients equal to $\pm 2^{n/2}$ (
Zhixiong Chen 0002 +2 more
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A Characterization of Generalized Boolean Functions Employed in CDMA Communications [PDF]
In design of secure cryptosystems and CDMA communications, the negabent functions play a significant role. The generalized Boolean functions have been extensively studied by Schmidt and established several important results in this setup.
Deep Singh +3 more
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Cryptographic properties of monotone Boolean functions
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 +3 more
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One of the directions of logical optimization of multilevel representations of systems of Boolean functions is the methods based on the search of subsystems of functions that have the same parts in the domains of functions of selected subsystems ...
P. N. Bibilo, A. M. Pazniak
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Autocorrelations of Vectorial Boolean Functions [PDF]
Recently, BarOn et al. introduced at Eurocrypt'19 a new tool, called the differential-linear connectivity table (DLCT), which allows for taking into account the dependency between the two subciphers E0 and E1 involved in differential-linear attacks. This paper presents a theoretical characterization of the DLCT, which corresponds to an autocorrelation ...
Canteaut, Anne +6 more
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An Anytime Symmetry Detection Algorithm for ROBDDs [PDF]
Detecting symmetries is crucial to logic synthesis, technology mapping, detecting function equivalence under unknown input correspondence, and ROBDD minimization. State-of-the-art is represented by Mishchenko's algorithm.
Kettle, Neil +3 more
core +1 more source

