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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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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
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