walsh spectra
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On the constructions of resilient Boolean functions with five-valued Walsh spectra and resilient semi-bent functions

Discrete Applied Mathematics ◽

10.1016/j.dam.2021.11.012 ◽

2022 ◽

Vol 309 ◽

pp. 1-12

Author(s):

Sihong Su ◽

Bingxin Wang ◽

Jingjing Li

Keyword(s):

Boolean Functions ◽

Bent Functions ◽

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Boolean functions with six-valued Walsh spectra and their application

Cryptography and Communications ◽

10.1007/s12095-021-00484-0 ◽

2021 ◽

Author(s):

Wengang Jin ◽

Xiaoni Du ◽

Yanzhong Sun ◽

Cuiling Fan

Keyword(s):

Boolean Functions ◽

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Functions with weights, Walsh spectra, and nonlinearities easier to study

Boolean Functions for Cryptography and Coding Theory ◽

10.1017/9781108606806.007 ◽

2020 ◽

pp. 164-188

Keyword(s):

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Image compression based on Walsh spectra

2020 ELEKTRO ◽

10.1109/elektro49696.2020.9130274 ◽

2020 ◽

Author(s):

Boris V. Kostrov ◽

Sergey I. Babaev ◽

Alexandr Bastrychkin ◽

Aleksey I. Baranchikov

Keyword(s):

Image Compression ◽

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Parallel Programming Strategies for Computing Walsh Spectra of Boolean Functions

Communications in Computer and Information Science - ICT Innovations 2020. Machine Learning and Applications ◽

10.1007/978-3-030-62098-1_12 ◽

2020 ◽

pp. 138-152

Author(s):

Dushan Bikov ◽

Maria Pashinska

Keyword(s):

Parallel Programming ◽

Boolean Functions ◽

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Boolean Functions with Multiple-Valued Walsh Spectra

Chinese Journal of Electronics ◽

10.1049/cje.2019.07.004 ◽

2019 ◽

Vol 28 (6) ◽

pp. 1165-1169

Author(s):

Tianfeng Sun ◽

Bin Hu

Keyword(s):

Boolean Functions ◽

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Determining the Walsh spectra of Taniguchi's and related APN-functions

Finite Fields and Their Applications ◽

10.1016/j.ffa.2019.101577 ◽

2019 ◽

Vol 60 ◽

pp. 101577

Author(s):

Nurdagül Anbar ◽

Tekgül Kalaycı ◽

Wilfried Meidl

Keyword(s):

Apn Functions ◽

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High-Meets-Low: Construction of Strictly Almost Optimal Resilient Boolean Functions via Fragmentary Walsh Spectra

IEEE Transactions on Information Theory ◽

10.1109/tit.2019.2899397 ◽

2019 ◽

Vol 65 (9) ◽

pp. 5856-5864 ◽

Author(s):

WeiGuo Zhang

Keyword(s):

Boolean Functions ◽

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Quantum algorithms for learning Walsh spectra of multi-output Boolean functions

Quantum Information Processing ◽

10.1007/s11128-019-2303-9 ◽

2019 ◽

Vol 18 (6) ◽

Author(s):

Jingyi Cui ◽

Jiansheng Guo ◽

Linhong Xu ◽

Mingming Li

Keyword(s):

Boolean Functions ◽

Quantum Algorithms ◽

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Several Classes of Boolean Functions with Four-Valued Walsh Spectra

International Journal of Foundations of Computer Science ◽

10.1142/s0129054117500228 ◽

2017 ◽

Vol 28 (04) ◽

pp. 357-377

Author(s):

Zhiqiang Sun ◽

Lei Hu

Keyword(s):

Boolean Functions ◽

Bent Functions ◽

Plateaued Functions ◽

In this paper, we give constructions of several classes of Boolean functions with four-valued Walsh spectra, which are derived from the indirect sum construction. The Walsh spectra and spectrum distributions of these functions are determined. The result of functions with four-valued Walsh spectra derived from Bent functions is used to research Bent functions and o-polynomials. By investigating the indirect sum, we also give constructions of plateaued functions and functions with five-valued Walsh spectra.

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