On second order nonlinearities of cubic monomial Boolean functions

Ruchi Gode; Sugata Gangopadhyay

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: 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},
      url = {https://eprint.iacr.org/2009/502}
}