An interactive tool for teaching lattice-based post-quantum cryptography

Abstract The advancement of quantum computing poses a serious challenge to information security, highlighting the urgent need for cryptographic systems resistant to quantum attacks. As this emerging field expands, so does the demand for educational strategies that build a digitally competent community prepared to engage with post-quantum cryptography. This paper presents the design and implementation of an innovative educational activity aimed at introducing high school students and, by extension, their teachers to core concepts in lattice-based cryptography. Grounded in the Theory of Didactical Situations, APOS Theory, and Instrumental Genesis, the activity integrates GeoGebra software to support the development of abstract mathematical thinking through interactive technology. Participants had no prior experience in cryptography, providing an ideal setting to explore how digital tools can facilitate access to complex content. This work offers a promising model for teacher training initiatives seeking to incorporate advanced topics through technology, thereby contributing to the broader goal of enhancing quality education.