Paper 2010/258 Original: eprint.iacr.org/2010/258 ↗

On lower bounds of second-order nonlinearities of cubic bent functions constructed by concatenating Gold functions

Ruchi Gode
Sugata Gangopadhyay
Abstract

In this paper we consider cubic bent functions obtained by Leander and McGuire (J. Comb. Th. Series A, 116 (2009) 960-970) which are concatenations of quadratic Gold functions. A lower bound of second-order nonlinearities of these functions is obtained. This bound is compared with the lower bounds of second-order nonlinearities obtained for functions belonging to some other classes of functions which are recently studied.

Metadata
Available format(s)
PDF
Category
Secret-key cryptography
Publication info
Preprint.
History
2010-05-06: last updated
2010-05-06: published
Short URL
https://ia.cr/2010/258
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2010/258,
      author = {Ruchi Gode and Sugata Gangopadhyay},
      title = {On  lower bounds of second-order nonlinearities of cubic bent functions constructed by concatenating Gold functions},
      howpublished = {Cryptology {ePrint} Archive, Paper 2010/258},
      year = {2010},
      url = {https://eprint.iacr.org/2010/258}
}
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