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Implement bulletproofs for efficient range proofs and confidential transactions** #390

Description

@jobbykings

Create advanced bulletproofs implementation for efficient range proofs, confidential transactions, and compact proof representations.

Requirements:
Bulletproofs implementation
Efficient range proof generation
Confidential transaction proofs
Compact proof representations
Bulletproofs security verification
Range proof efficiency optimization

Acceptance Criteria:
GIVEN bulletproofs, WHEN created, THEN range proofs are efficient and compact
GIVEN confidential transactions, WHEN proven, THEN transaction amounts remain private
GIVEN compact representation, WHEN used, THEN proof sizes are minimized
GIVEN security verification, WHEN performed, THEN bulletproofs properties are mathematically sound
GIVEN efficiency optimization, WHEN applied, THEN bulletproof operations are fast

Files to Work On:

Backend:

backend/src/bulletproofs/Bulletproofs.ts (new)
backend/src/bulletproofs/RangeProver.ts (new)
backend/src/bulletproofs/ConfidentialTransactor.ts (new)
backend/src/bulletproofs/CompactRepresenter.ts (new)
backend/src/services/BulletproofService.ts (new)

Frontend:

frontend/src/components/Bulletproofs/RangeProofs.tsx (new)
frontend/src/components/Bulletproofs/ConfidentialTransactions.tsx (new)

Activity

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