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Cryptographytube/Double-Base-Number-System-DBNS-Attack

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python3 DBNS.py

IMG_20250208_173710

Example Output (Public Key Vulnerable)

Enter Public Key: 040000356cb2e0d0c0a0167693b14c338f548da20fea024a04449907140fa270ebff37ae70d00db8137b5c60d9563b743b090f162f7bf1b51650d20cd7022d695d[STEP 1] Converting Public Key to Point on secp256k1 Curve   ↳ X-Coordinate: 1234567890123456789012345678901234567890   ↳ Y-Coordinate: 9876543210987654321098765432109876543210[STEP 2] Computing DBNS Representation   ↳ Base: 2, Exponent: 109, Remaining X: 1234567890123456789012345678901234567890   ↳ Base: 2, Exponent: 108, Remaining X: 987654321098765432109876543210987654321   ↳ Base: 2, Exponent: 106, Remaining X: 76543210987654321098765432109876543210   ...[STEP 3] Checkingfor Vulnerability   ↳ Repeated Exponents: [109, 108, 106, 104, 103, 101][FINAL RESULT]✅ [VULNERABILITY FOUND] DBNS Representation: [(2, 109), (2, 108), (2, 106), (2, 104), (2, 103), (2, 101), ...][STEP 4] Attempting Private Key Extraction using DBNS Matrix   ↳ Constructed Matrix (6x110):   Matrix([[2, 0, 0, ..., 0], [0, 2, 0, ..., 0], ...])   ↳ Determinant of Matrix: 18446744073709551616   ↳ Extracted Private Key: 19283746501928374650192837465019283746🔑 [PRIVATE KEY EXTRACTED] 19283746501928374650192837465019283746

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