Paper 2009/502

On second order nonlinearities of cubic monomial Boolean functions

Ruchi Gode and Sugata Gangopadhyay

Abstract

We study cubic monomial Boolean functions of the form $Tr_1^n(\mu x^{2^i+2^j+1})$ where $\mu \in \mathbb{F}_{2^n}$. We prove that the functions of this form do not have any affine derivative. A lower bound on the second order nonlinearities of these functions is also derived.

Metadata
Available format(s)
PDF
Category
Secret-key cryptography
Publication info
Published elsewhere. Unknown where it was published
Contact author(s)
gsugata @ gmail com
History
2009-11-26: last of 4 revisions
2009-10-20: received
See all versions
Short URL
https://ia.cr/2009/502
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2009/502,
      author = {Ruchi Gode and Sugata Gangopadhyay},
      title = {On second order nonlinearities of cubic monomial Boolean functions},
      howpublished = {Cryptology ePrint Archive, Paper 2009/502},
      year = {2009},
      note = {\url{https://eprint.iacr.org/2009/502}},
      url = {https://eprint.iacr.org/2009/502}
}
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