Paper 2026/169

New lower bound of the $r$-th order nonlinearity via algebraic immunity

Mikhail Lobanov
Abstract

We will improve the best known lower bound of the $r$-th order nonlinearity of Boolean function for $r > 2$ via algebraic immunity

Metadata
Available format(s)
PDF
Category
Attacks and cryptanalysis
Publication info
Preprint.
Keywords
Nonlinearityalgebraic immunityBoolean FunctionReed-Muller codes
Contact author(s)
mlobanov84 @ gmail com
History
2026-02-05: approved
2026-02-02: received
See all versions
Short URL
https://ia.cr/2026/169
License
No rights reserved
CC0

BibTeX

@misc{cryptoeprint:2026/169,
      author = {Mikhail Lobanov},
      title = {New lower bound of the $r$-th order nonlinearity via algebraic immunity},
      howpublished = {Cryptology {ePrint} Archive, Paper 2026/169},
      year = {2026},
      url = {https://eprint.iacr.org/2026/169}
}
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