We initiate the study of Boolean function analysis on high-dimensional expanders. We give a random-walk based definition of high-dimensional expansion, which coincides with the earlier definition in terms of two-sided link expanders. Using this definition, we describe an analog of the Fourier ...
In Boolean Function Complexity, pages 55-77. Springer, 2012.O'DONNELL, R. Analysis of boolean functions, 2012.R. O'Donnell, Analysis of boolean functions, tech. report, 2012. Book serialization available at http://analysisofbooleanfunctions.org/....
Instructions on web page. Blog: http://boolean-analysis.blogspot Evaluation: ² About 5 problem sets. ² 2 or 2.5 scribe notes, graded (worth equal to that of a problem set) The Boolean function The boolean function All things to all people x f (x) 0000 0 0001 1 0010 1 0011 1...
ABoolean functionofnvariablesx1,…,xnis a mappingf:Bn → B. Given a Boolean functionf, a binary vectorα=(α1α2…αn)is a called atrue pointof the function iff(α)=1and afalse pointiff(α)=0. The sets of true and false points of a functionfwill be denoted byT=T(f)andF...
Through studying the linear space of the partially Bent function, this paper quantrficationally described the correlation immune order, pervasion order and algebra degree affected by the linear dimension. And then, it constructed a kind of balanced and c
An application to the extremal balanced Boolean function is given.doi:10.1080/09720529.2006.10698089MittonMichelTaylor & Francis GroupJournal of Discrete Mathematical Sciences & CryptographyOn the Walsh-Fourier analysis of Boolean functions - Mitton - 2005 () Citation Context ...nomial. Keywords Boolean ...
摘要: The notion of transparency order, proposed by Prouff (DPA attacks and S-boxes, FSE 2005, LNCS 3557, Springer, Berlin, 2005) and then redefined by Chakraborty et al. (Des Codes Cryptogr 82:95–115,...关键词: Transparency order Boolean function Nonlinearity ...
Boolean And function ArcGIS AllSource Transform your location and time-based data into actionable intelligence with software for investigative, geospatial, and link analysis. Learn about ArcGIS AllSource Featured initiative Infrastructure Management Create a modern, resilient, and sustainable future with GIS...
A fast procedure for finding prime implicants of a boolean functionBinocular disparityinvariant object recognitionspatial-frequency analysisoptical flowWigner distributionA method is proposed by which the prime implicants of a boolean function can be obtained without generating the lower order terms. An ...
A survey of literature on function decomposition Technical report, Department of Electrical Engineering, Portland State University, Portland, the US (1995) Google Scholar Stańczyk 2003 U. Stańczyk Synthesis, analysis and decomposition of Boolean functions in selected problems of digital image pre-process...