Paper 2010/258

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

Ruchi Gode and 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
Published elsewhere. Unknown where it was published
Keywords
Boolean functionscubic functionsderivativessecond-order nonlinearitylow order approximations.
Contact author(s)
gsugata @ gmail com
History
2010-05-06: received
Short URL
https://ia.cr/2010/258
License
Creative Commons Attribution
CC BY

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},
      note = {\url{https://eprint.iacr.org/2010/258}},
      url = {https://eprint.iacr.org/2010/258}
}
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