Constructions of Even-variable Boolean Function with Optimum Algebraic Immunity

Yindong Chen; Peizhong Lu

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 cipher algebraic attacks Boolean function algebraic 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: 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},
      url = {https://eprint.iacr.org/2009/130}
}