Applications of infinite non-abelian groups to cryptography
Post-quantum group-based cryptography · Historical workshop question
Inferred from the community field; finer classification has not been reviewed.
Problem statement
Several cryptanalytic methods against group-based cryptography suggest possible use cases for infinite non-abelian groups; for example, non-Hopfian groups. We would like to develop tools to understand how these infinite objects can fit into a cryptographic context, and whether their use can be used to address some of the cryptanalytic methods deployed against group-based cryptography.
Lean 4
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Background
Section context
More general group-theoretic questions with implications in the field.
Progress & source assessment
Historical workshop record. Current open/solved status has not been independently reassessed.
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- [1]Post-quantum group-based cryptography link
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Discussion
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