Construction of Odd-variable Boolean Functions with Optimum Algebraic Immunity

DOI

10.2991/isccca.2013.21How to use a DOI?

Keywords

Algebraic attacks, Algebraic immunity, Boolean functions, Affine subspace

Abstract

Recently, algebraic attacks becomes a major attack method to threat to cryptography security. In order to resist algebraic attacks, algebraic immunity as a Boolean function cryptographic property has been put out. This makes that Boolean functions should have high algebraic immunity to resist algebraic attacks. In this paper, a specific decomposition method of the space is proposed. By the method, we construct a class of odd number of variables Boolean functions with optimal algebraic immunity.

Copyright

© 2013, 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  - Zhichao Zhang
AU  - Zheng Huang
AU  - Jie Zhang
AU  - Qiaoyan Wen
PY  - 2013/02
DA  - 2013/02
TI  - Construction of Odd-variable Boolean Functions with Optimum Algebraic Immunity
BT  - Proceedings of the 2nd International Symposium on Computer, Communication, Control and Automation (ISCCCA 2013)
PB  - Atlantis Press
SP  - 83
EP  - 86
SN  - 1951-6851
UR  - https://doi.org/10.2991/isccca.2013.21
DO  - 10.2991/isccca.2013.21
ID  - Zhang2013/02
ER  -