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Diskretnaya Matematika, 2018, Volume 30, Issue 3, Pages 14–24
DOI: https://doi.org/10.4213/dm1506 (Mi dm1506) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On relationship between the parameters characterizing nonlinearity and nonhomomorphy of vector spaces transformation

D. A. Burov

TVP Laboratory
Full-text PDF (460 kB) Citations (2)
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DOI: https://doi.org/10.4213/dm1506
Abstract: We find a relation between the W-intersection matrix (which characterizes the degree of “nonhomomorphy”) of a transformation and the difference distribution table and the correlation matrix (which characterize the degree nonlinearity of a transformation). An upper estimate for the dimension of a subspace invariant under almost bent functions is put forward. A formula for evaluation of the W-intersection matrix of a composition of two transformations is obtained.
Keywords: W-intersection matrix, correlation matrix, difference distribution table, differential attack, linear attack.
Received: 13.02.2018
English version:
Discrete Mathematics and Applications, 2019, Volume 29, Issue 5, Pages 287–294
DOI: https://doi.org/10.1515/dma-2019-0026
Bibliographic databases:
Document Type: Article
UDC: 542.7+519.719.2
Language: Russian
Citation: D. A. Burov, “On relationship between the parameters characterizing nonlinearity and nonhomomorphy of vector spaces transformation”, Diskr. Mat., 30:3 (2018), 14–24; Discrete Math. Appl., 29:5 (2019), 287–294
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/dm1506
  • https://doi.org/10.4213/dm1506
  • https://www.mathnet.ru/eng/dm/v30/i3/p14
    • This publication is cited in the following 2 articles:
    1. D. A. Burov, “On a relationship between linear and differential characteristics of binary vector spaces mappings and diffusion characteristics over blocks of imprimitivity systems of translation group of the binary vector space”, Discrete Math. Appl., 34:3 (2024), 121–144  mathnet  crossref  crossref
    2. D. A. Burov, “On scatter properties of modular addition operation over imprimitivity systems of the translation group of the binary vector space”, Discrete Math. Appl., 33:3 (2023), 127–156  mathnet  crossref  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
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    References:60
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