
A Study of Cyber Attack Behavior based on Algebraic Topology
Author(s) -
Xiaoyu Zhang,
Hao Yan,
Zhen Liu
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1856/1/012068
Subject(s) - computer science , topology (electrical circuits) , manifold (fluid mechanics) , computer security , algebraic number , theoretical computer science , mathematics , engineering , mechanical engineering , mathematical analysis , combinatorics
It is inevitable that serious damage will occur once the hosts suffer from cyberattack. Therefore, the study of cyberattacks has become indispensable in the field of cyber security. Host-oriented cyberattacks consist of a series of atomic attacks attacking system objects and metrics on atomic attacks can quantitatively describe the behavior of cyber attacks. When the atomic attack behavior constitutes a manifold topological space, host-oriented assessment of the effects of a cyberattack can be computed using an algebraic topology. The concepts of manifold and other spaces in algebraic topology can be used to model and analyze the system composed of many elements. Therefore, by handling the relationships between metrics appropriately (e.g., complex mappings), the topological space of attack scenarios is constructed. This paper uses a cellular manifold to show the geometric structure of cyberattack behaviors. In this solution, we select the metrics depicting the cyber attack behavior and clear their dependence through the construction of cyberattack behavior sequence graph, and then put forward the cyberattack behavior model based on the relationship between metrics. WannaCry ransomware attack is analyzed by applying our model, which provides a new idea for quantifying cyberattack.