Implement ring signature applications for anonymous proof verification**

[jobbykings]

Create advanced ring signature applications for anonymous proof verification, unlinkable signatures, and privacy-preserving proof authentication.

Requirements:
Ring signature application implementation
Anonymous proof verification
Unlinkable signature generation
Privacy-preserving authentication
Ring signature security verification
Anonymity efficiency optimization

Acceptance Criteria:
GIVEN ring signatures, WHEN generated, THEN signer anonymity is guaranteed
GIVEN anonymous verification, WHEN performed, THEN proof validity is confirmed without identity
GIVEN unlinkable signatures, WHEN created, THEN signatures cannot be linked to signers
GIVEN privacy preservation, WHEN enforced, THEN proof authentication is anonymous
GIVEN efficiency optimization, WHEN applied, THEN ring signature operations are fast

Files to Work On:

Backend:

backend/src/ringsignatures/RingSignatureApplications.ts (new)
backend/src/ringsignatures/AnonymousVerifier.ts (new)
backend/src/ringsignatures/UnlinkableGenerator.ts (new)
backend/src/ringsignatures/PrivacyAuthenticator.ts (new)
backend/src/services/RingSignatureService.ts (new)

Frontend:

frontend/src/components/RingSignatures/AnonymousProofs.tsx (new)
frontend/src/components/RingSignatures/PrivacyAuth.tsx (new)