[Resource Topic] 2012/338: Characterizations on Algebraic Immunity for Multi-Output Boolean Functions

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Title:
Characterizations on Algebraic Immunity for Multi-Output Boolean Functions

Authors: 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.

ePrint: https://eprint.iacr.org/2012/338

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