Proceedings of the 2016 International Conference on Artificial Intelligence: Technologies and Applications

A New Approach to the Definition of Information Diffusion and Confusion of Boolean Transformation

Authors
Lin Li, Zhiyin Kong, Fengmei Liu, Kun Li, Xiubin Fan
Corresponding Author
Lin Li
Available Online January 2016.
DOI
https://doi.org/10.2991/icaita-16.2016.15How to use a DOI?
Keywords
diffusion; confusion; boolean function; boolean transformation
Abstract
Mass, energy and information are the three important quantities in the physical world. The diffusion and confusion of information is the guiding ideology of cipher algorithm coding. Linear transformation is generally used to realize the diffusion of information and S-box is used to realize the confusion. This paper presents the concept of the information diffusion and confusion degree in Boolean transformation and proves that the biggest information diffusion and confusion degrees are both in the tuples Boolean linear invertible transform. Furthermore, we give the method to construct the maximum degree of diffusion and confusion degree for the structure of the reversible Boolean nonlinear transform. That is to say, the diffusion of information technology through reversible linear transformation in AES and SMS4, CAST is not optimal. The results presented in this paper, combined with the algebraic immune degree, balance, correlation immune, linear deviation and difference deviation, and other security cryptography parameters, can be used to design cryptographic algorithm with better properties.
Open Access
This is an open access article distributed under the CC BY-NC license.

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Volume Title
Proceedings of the 2016 International Conference on Artificial Intelligence: Technologies and Applications
Series
Advances in Intelligent Systems Research
Publication Date
January 2016
ISBN
978-94-6252-162-9
ISSN
1951-6851
DOI
https://doi.org/10.2991/icaita-16.2016.15How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Lin Li
AU  - Zhiyin Kong
AU  - Fengmei Liu
AU  - Kun Li
AU  - Xiubin Fan
PY  - 2016/01
DA  - 2016/01
TI  - A New Approach to the Definition of Information Diffusion and Confusion of Boolean Transformation
BT  - Proceedings of the 2016 International Conference on Artificial Intelligence: Technologies and Applications
PB  - Atlantis Press
SP  - 59
EP  - 61
SN  - 1951-6851
UR  - https://doi.org/10.2991/icaita-16.2016.15
DO  - https://doi.org/10.2991/icaita-16.2016.15
ID  - Li2016/01
ER  -