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Paper 2019/1381

The Extended Autocorrelation and Boomerang Tables and Links Between Nonlinearity Properties of Vectorial Boolean Functions

Kaisa Nyberg

Abstract

Given the links between nonlinearity properties and the related tables such as LAT, DDT, BCT and ACT that have appeared in the literature, the boomerang connectivity table BCT seems to be an outlier as it cannot be derived from the others using Walsh-Hadamard transform. In this paper, a brief unified summary of the existing links for general vectorial Boolean functions is given first and then a link between the autocorrelation and boomerang connectivity tables is established.

Metadata
Available format(s)
PDF
Category
Secret-key cryptography
Publication info
Preprint. MINOR revision.
Keywords
linear approximationdifferentialdifferential-linear approximationboomerangautocorrelationvectorial Boolean functions
Contact author(s)
kaisa nyberg @ aalto fi
History
2019-12-01: received
Short URL
https://ia.cr/2019/1381
License
Creative Commons Attribution
CC BY
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