Characterizations on Algebraic Immunity for Multi-Output Boolean Functions

Xiao Zhong; Mingsheng Wang

Paper 2012/338

Characterizations on Algebraic Immunity for Multi-Output Boolean Functions

Xiao Zhong and 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: Published elsewhere. Unknown where it was published
Keywords: Algebraic attacks Stream Ciphers Multi-output boolean functions Single-Output boolean functions Algebraic immunity Augmented functions
Contact author(s): zhongxiao456 @ 163 com
History: 2012-09-11: last of 3 revisions; 2012-06-22: received; See all versions
Short URL: https://ia.cr/2012/338
License: CC BY

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}
}