Paper 2009/130

Constructions of Even-variable Boolean Function with Optimum Algebraic Immunity

Yindong Chen and Peizhong Lu

Abstract

This paper proposed an improved construction of even-variable Boolean function with optimum algebraic immunity. Compared with those in~\cite{Carl06}, our Boolean functions are more balance. Specially, for $k{=}2t{+}1$ $(t{>}1)$, the $2k$-variables Boolean function is balanced. Furthermore, we generalized it to a class of constructions, meaning there would be much more constructions.

Metadata
Available format(s)
PDF
Publication info
Published elsewhere. Unknown where it was published
Keywords
stream cipheralgebraic attacksBoolean functionalgebraic immunity
Contact author(s)
chenyd @ fudan edu cn
History
2009-04-01: revised
2009-03-27: received
See all versions
Short URL
https://ia.cr/2009/130
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2009/130,
      author = {Yindong Chen and Peizhong Lu},
      title = {Constructions of Even-variable Boolean Function with Optimum Algebraic Immunity},
      howpublished = {Cryptology ePrint Archive, Paper 2009/130},
      year = {2009},
      note = {\url{https://eprint.iacr.org/2009/130}},
      url = {https://eprint.iacr.org/2009/130}
}
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