Paper 2012/338 Original: eprint.iacr.org/2012/338 ↗

Characterizations on Algebraic Immunity for Multi-Output Boolean Functions

Xiao Zhong
Mingsheng Wang
Abstract

The general principle for algebraic attack for multi-output stream ciphers was proposed by Courtois [6]. Furthermore, Armknecht, and Krause gave a definition of algebraic immunity for multi-output Boolean functions in [2], and investigated some construction methods of multi-output Boolean functions with maximal algebraic immunity. In this note, several new characterizations of algebraic immunity for multi-output Boolean functions are given, and some related invariants and their relations are also investigated. Some examples are given to illustrate the usefulness of these results.

Metadata
Available format(s)
PDF
Category
Secret-key cryptography
Publication info
Preprint.
History
2012-09-11: last updated
2012-06-22: published
Short URL
https://ia.cr/2012/338
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2012/338,
      author = {Xiao Zhong and Mingsheng Wang},
      title = {Characterizations on Algebraic Immunity for Multi-Output Boolean Functions},
      howpublished = {Cryptology {ePrint} Archive, Paper 2012/338},
      year = {2012},
      url = {https://eprint.iacr.org/2012/338}
}
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