The algebraic immunity of a class of correlation immune H Boolean functions

DOI

10.2991/aest-16.2016.105How to use a DOI?

Keywords

H Boolean functions; e-derivative; algebraic immunity; correlation immunity; annihilators.

Abstract

Using the derivative of the Boolean function and the e-derivative defined by ourselves as research tools, we study the algebraic immunity of a class of H Boolean functions, getting solutions to solve annihilators of the lowest algebraic degree of H Boolean functions by formulas, the existence and solution of the 1st-order algebraic immunity functions. Meanwhile we obtain that when H Boolean functions are 1st-order algebraic immunity functions, the relationship between 1st-degree annihilator and e-derivative, the solving formula of 1st-degree annihilator represented by the derivative and the e-derivative, and the compatibility of the 1st-order algebraic immunity and the higher-order correlation immunity of H Boolean functions.

Copyright

© 2016, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Jinglian Huang
AU  - Zhuo Wang
PY  - 2016/11
DA  - 2016/11
TI  - The algebraic immunity of a class of correlation immune H Boolean functions
BT  - Proceedings of the 2016 International Conference on Advanced Electronic Science and Technology (AEST 2016)
PB  - Atlantis Press
SP  - 779
EP  - 787
SN  - 1951-6851
UR  - https://doi.org/10.2991/aest-16.2016.105
DO  - 10.2991/aest-16.2016.105
ID  - Huang2016/11
ER  -