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Linear Algebra and Graph Theory form foundational mathematical frameworks that are deeply interconnected and widely applied in modern cryptography: linear algebra studies vectors, matrices, and transformations, providing tools for handling high-dimensional data and solving systems efficiently, while graph theory focuses on networks of nodes and edges, modeling relationships such as communication or connectivity; in cryptographic applications, these disciplines combine to enable secure systems—for example, linear algebra underpins algorithms for encoding, decoding, and error correction, and graph theory supports structures used in hash functions, blockchain networks, and secure communication protocols—together enhancing the design, analysis, and security of encryption schemes that protect digital information.
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.