Near Optimal Secret Sharing for Information Leakage Maximization

In this paper, we propose a mathematical programming model to describe an offense-defense scenario. In the offense problem, the objective of attackers is to compromise nodes in order to steal information. Therefore, the attackers try to recover secrets through compromising certain nodes and to maximize the information leakage as much as possible. During the attack actions, the attacker must allocate a limited budget to collect a large enough number of shares and decrypted keys through compromising certain nodes. Therefore, we advocate Lagrangean Relaxation algorithms and the proposed heuristics to find a near optimal solution. Through solutions from the perspective of the attacker, we then induce some efficient defense mechanisms for the network operators.