Paper 2007/308

Generalized Rotation Symmetric and Dihedral Symmetric Boolean Functions - 9 variable Boolean Functions with Nonlinearity 242

Selcuk Kavut and Melek Diker Yucel

Abstract

Recently, 9-variable Boolean functions having nonlinearity 241, which is strictly greater than the bent concatenation bound of 240, have been discovered in the class of Rotation Symmetric Boolean Functions (RSBFs) by Kavut, Maitra and Yucel. In this paper, we present several 9-variable Boolean functions having nonlinearity of 242, which we obtain by suitably generalizing the classes of RSBFs and Dihedral Symmetric Boolean Functions (DSBFs).

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Published elsewhere. Unknown where it was published
Keywords
Boolean functionsNonlinearity
Contact author(s)
selcukkavut @ gmail com
History
2007-08-09: received
Short URL
https://ia.cr/2007/308
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2007/308,
      author = {Selcuk Kavut and Melek Diker Yucel},
      title = {Generalized Rotation Symmetric and Dihedral Symmetric Boolean Functions - 9 variable Boolean Functions with Nonlinearity 242},
      howpublished = {Cryptology ePrint Archive, Paper 2007/308},
      year = {2007},
      note = {\url{https://eprint.iacr.org/2007/308}},
      url = {https://eprint.iacr.org/2007/308}
}
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