Investigation on post-quantum digital signature systems based on multivariate equations

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Abstract

The NIST Post-Quantum Cryptography standardisation process has called for new algorithms, for the purpose of finding and standardising new cryptographic algorithms, able to withstand attacks enabled by future quantum processing progress. Digital signature schemes are fundamental for validating authenticity and integrity of digital documents. In the pages that follow, algorithms currently submitted in the NIST process, which rely on multivariate equations, will be investigated. This thesis will examine their underlying structure, known attacks, as well as their required storage and efficiency.

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