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OP-8152Status unassessedCryptography

Advanced digital signature functionality from group theory

Post-quantum group-based cryptography · Historical workshop question

Inferred from the community field; finer classification has not been reviewed.

Historical list · status unassessedAs of 2026-09-08Source & evidence ↓

Problem statement

We would like to use generic group-action tools to build ring signatures, blind signatures, threshold signatures and more. We would also like to apply the "twist" technique present in similar isogeny schemes to improve the memory performance of group-based digital signatures.

Lean 4

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Background

Section context

Open problems relating to the design of protocols in group-theoretic cryptography.

Question context

The connection between SDLP and group actions suggests the availability of generic group-action tools to build more efficient signatures, or signatures with more specialised properties.

Progress & source assessment

Historical workshop record. Current open/solved status has not been independently reassessed.

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References
  1. [1]Post-quantum group-based cryptography link

Recorded progress

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Discussion

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