Search Results - "Boolean functions"

Construction and enumeration of correlation immune rotation symmetric Boolean functions by A.U., Zeenath, K.V., Lakshmy, Cusick, Thomas W., Sethumadhavan, M.

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On the Number of Inequivalent Monotone Boolean Functions of 9 Variables by Pawelski, Bartlomiej

“…The problem of counting all inequivalent monotone Boolean functions of nine variables is considered. We solve the problem using known algorithms and deriving…”
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Construction and enumeration of balanced rotation symmetric Boolean functions by A.U., Zeenath, K.V., Lakshmy, Cusick, Thomas W., Sethumadhavan, M.

“…Construction and enumeration of the class of balanced rotation symmetric Boolean functions are important research areas in cryptography. The counting results…”
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Sparse Zero Correlation Zone Arrays for Training Design in Spatial Modulation Systems by Pai, Cheng-Yu, Liu, Zilong, Chen, Chao-Yu

“…This paper presents a novel training matrix design for spatial modulation (SM) systems, by introducing a new class of two-dimensional (2D) arrays called sparse…”
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Reed-Muller Codes Achieve Capacity on Erasure Channels by Kudekar, Shrinivas, Kumar, Santhosh, Mondelli, Marco, Pfister, Henry D., Sasoglu, Eren, Urbanke, Rüdiger L.

“…We introduce a new approach to proving that a sequence of deterministic linear codes achieves capacity on an erasure channel under maximum a posteriori…”
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Design of Highly Nonlinear Substitution Boxes Based on I-Ching Operators by Zhang, Tong, Chen, C. L. Philip, Chen, Long, Xu, Xiangmin, Hu, Bin

“…This paper is to design substitution boxes (S-Boxes) using innovative I-Ching operators (ICOs) that have evolved from ancient Chinese I-Ching philosophy. These…”
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Approximating the distance to monotonicity of Boolean functions by Pallavoor, Ramesh Krishnan S., Raskhodnikova, Sofya, Waingarten, Erik

“…We design a nonadaptive algorithm that, given oracle access to a function f:{0,1} n→{0,1} which is α‐far from monotone, makes poly(n,1/α) queries and returns…”
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nnFormer: Volumetric Medical Image Segmentation via a 3D Transformer by Zhou, Hong-Yu, Guo, Jiansen, Zhang, Yinghao, Han, Xiaoguang, Yu, Lequan, Wang, Liansheng, Yu, Yizhou

“…Transformer, the model of choice for natural language processing, has drawn scant attention from the medical imaging community. Given the ability to exploit…”
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On monomial dihedral symmetric Boolean functions by Calderón-Gómez, José E., Medina, Luis A., Molina-Salazar, Carlos A.

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Cross Z-Complementary Sets With Flexible Lengths for Optimal Training Design in Spatial Modulation by Huang, Zhen-Ming, Hu, Chen, Liu, Zilong, Chen, Chao-Yu

“…Cross Z-complementary sets (CZCSs) are useful for optimal training design in spatial modulation (SM) system over frequency-selective channels. Recently,…”
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Investigations on c-(Almost) Perfect Nonlinear Functions by Mesnager, Sihem, Riera, Constanza, Stanica, Pantelimon, Yan, Haode, Zhou, Zhengchun

“…In a prior paper (Ellingsen et al. , 2020), two of us, along with P. Ellingsen, P. Felke, and A. Tkachenko, defined a new (output) multiplicative differential…”
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The Application of Majority Voting Functions to Estimate the Number of Monotone Self-Dual Boolean Functions by Bystrov, L. Y., Kuzmin, E. V.

“…One of the problems of modern discrete mathematics is Dedekind’s problem on the number of monotone Boolean functions. For other precomplete classes, general…”
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Criticality Distinguishes the Ensemble of Biological Regulatory Networks by Daniels, Bryan C., Kim, Hyunju, Moore, Douglas, Zhou, Siyu, Smith, Harrison B., Karas, Bradley, Kauffman, Stuart A., Walker, Sara I.

“…The hypothesis that many living systems should exhibit near-critical behavior is well motivated theoretically, and an increasing number of cases have been…”
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Editorial: Special issue on Boolean functions and their applications 2021 by Budaghyan Lilya, Carlet Claude, Ding Cunsheng, Helleseth Tor

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Constructions of 2-D Golay Complementary Array Sets With Flexible Array Sizes for Omnidirectional Precoding in Massive MIMO by Men, Xinyu, Liu, Tao, Li, Yubo, Liu, Mingxin

“…Constructing two-dimensional (2-D) Golay complementary array sets (GCASs) with flexible array sizes become an important topic due to their practical…”
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On Second-Order Derivatives of Boolean Functions and Cubic APN Permutations in Even Dimension by Musukwa, Augustine, Sala, Massimiliano, Villa, Irene, Zaninelli, Marco

“…The big APN problem is one of the most important challenges in the theory of Boolean functions, i.e. finding a new APN permutation in even dimension. Among…”
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On the Φ-stability and related conjectures by Yu, Lei

“…Given a convex function Φ : [ 0 , 1 ] → R and the mean E f ( X ) = a ∈ [ 0 , 1 ] , which Boolean function f maximizes the Φ -stability E [ Φ ( T ρ f ( X ) ) ]…”
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Constructions of Spectrally Null Constrained Complete Complementary Codes via the Graph of Extended Boolean Functions by Shen, Bingsheng, Yang, Yang, Zhou, Zhengchun, Mesnager, Sihem

“…Complete complementary codes (CCCs) have important applications in communication, radar, and information security. In modern communication and radar systems,…”
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Disturbance Observer-Based Integral Sliding-Mode Control for Systems With Mismatched Disturbances by Zhang, Jinhui, Liu, Xinwei, Xia, Yuanqing, Zuo, Zhiqiang, Wang, Yijing

“…This paper develops the disturbance observer-based integral sliding-mode control approach for continuous-time linear systems with mismatched disturbances or…”
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Proof of Tomaszewski's conjecture on randomly signed sums by Keller, Nathan, Klein, Ohad

“…We prove the following conjecture, due to Tomaszewski (1986): Let X=∑i=1naixi, where ∑iai2=1 and each xi is a uniformly random sign. Then Pr⁡[|X|≤1]≥1/2. Our…”
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