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Discrete Mathematics for security modeling focuses on the use of mathematical structures such as logic, sets, graphs, combinatorics, and number theory to design, analyze, and verify secure systems. It provides the foundational tools for representing complex security mechanisms like cryptographic algorithms, authentication protocols, access control systems, and network security models in a precise and formal way. By applying discrete structures, security experts can reason about potential vulnerabilities, model threat scenarios, and prove the correctness and strength of security solutions. This area is essential in cybersecurity because it enables the systematic analysis of risks and ensures that security systems are robust, reliable, and resistant to attacks.
This lecture is part of CYB204 Applied mathematics in cyber in the Cyber Security department. The course has 15 recorded lectures across 5 series, all free to watch.