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On the linear structures of Balanced functions and quadratic APN functions
September 25, 2019 Β· Declared Dead Β· π Cryptography and Communications
"No code URL or promise found in abstract"
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Authors
Augustine Musukwa, Massimiliano Sala
arXiv ID
1909.11465
Category
cs.CR: Cryptography & Security
Cross-listed
cs.DM
Citations
6
Venue
Cryptography and Communications
Last Checked
4 months ago
Abstract
The set of linear structures of most known balanced Boolean functions is nontrivial. In this paper, some balanced Boolean functions whose set of linear structures is trivial are constructed. We show that any APN function in even dimension must have a component whose set of linear structures is trivial. We determine a general form for the number of bent components in quadratic APN functions in even dimension and some bounds on the number are produced. We also count bent components in any quadratic power functions.
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