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Cryptographic Group Actions and Their Applications

Project Member(s): Qiao, Y.

Funding or Partner Organisation: Australian Research Council (ARC Linkage Projects)
Australian Research Council (ARC Linkage Projects)

Start year: 2023

Summary: Cryptography plays an important role in our daily lives and it is ubiquitous in many practical applications, such as securing transactions and communications, safeguarding personal identifiable information and confidential data, authenticating identity, preventing document tampering, and establishing trust between servers. Unfortunately, all being deployed cryptographic primitives will be insecure against quantum computer attacks. Post-quantum cryptography (PQC) is the emerging direction to design cryptosystems that can be implemented in classical infrastructures and provide long-term security even against the threads by quantum computers. One of the promising PQC candidates comes from cryptographic group actions (CGA), including isogeny based cryptography, which has taken notable attention in recent years. The advantages of group actions include the strong mathematical and algorithmic support for hardness assumptions and comparable efficiency with other PQC candidates in the NIST competition. The main aim of this project is to move one step ahead in this research direction by investigating the possibility of enabling advanced cryptographic primitives from group actions.

FOR Codes: Cryptography, Data security and protection, Expanding knowledge in the information and computing sciences