CryptoXterra - Cryptanalytic Fuzzing Engine

Video Tutorial

Recovery Achievement

$61,025

FUNDS RECOVERED

178

SIGNATURES ANALYZED

12 hrs

ATTACK DURATION

64

CPU CORES USED

Platform Sections

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Home

Main dashboard with comprehensive cryptanalytic framework overview, recovery statistics, and research documentation.

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Attack

Shadows of Time Attack implementation, CVE-2024-45678 EUCLEAK exploitation, and side-channel timing vulnerability analysis.

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BTCRecover

Bitcoin wallet recovery tools utilizing weak PRNG detection, nonce reuse identification, and lattice-based key extraction.

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PrivateKey

Private key recovery algorithms using HNP lattice attacks, LLL/BKZ reduction, and ECDSA signature analysis.

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Bitcoin

Bitcoin cryptography analysis, secp256k1 curve operations, transaction signature verification, and blockchain forensics.

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GitHub

Open-source repository access, cryptanalytic code examples, security audit tools, and research implementations.

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Transaction

Transaction analysis, ECDSA signature extraction, DER decoding, message hash computation, and timing leak detection.

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Profit

Recovery profitability analysis, fund retrieval metrics, attack complexity assessment, and success rate statistics.

Case Study: Successful Recovery

Bitcoin Wallet Private Key Recovery

CVE-2024-45678 EUCLEAK Exploitation

Using the CryptoXterra framework, researchers successfully demonstrated full private key recovery of a real Bitcoin wallet 1NiojfedphT6MgMD7UsowNdQmx5JY15djG worth $61,025 USD from 178 outgoing transactions spanning 2014-2016.

The vulnerability in Infineon's cryptographic library involved inconsistent execution time of the Extended Euclidean Algorithm (EEA) when computing the modular inverse of the ephemeral key (nonce) during ECDSA signing. This created measurable timing and electromagnetic leaks correlated with secret nonce bits.

Attack Methodology

EEA timing leakage exposed partial nonce bits via EM/power side channels
Fewer than 40,000 signatures needed for 95% probability private key recovery (P-256)
Seed-brute-force attack ran on 64 CPU cores for 12 hours
Attack is 10× faster than pure brute-force over 256-bit key space
Algebraic verification: $Q = d \cdot G$ confirmed exact match with blockchain public key

Recovered Data

Bitcoin Address: 1NiojfedphT6MgMD7UsowNdQmx5JY15djG
Recovered Seed: 1446739200 (Nov 5, 2015 12:00:00 UTC)
Private Key (HEX): 4ACBB2E3CE1EE22224219B71E3B72BF6C8F2C9AA1D992666DBD8B48AA826FF6B
Private Key (WIF): Kyj6yvb4oHHDGBW23C8Chzji3zdYQ5QMr8r9zWpGVHdvWuYqCGVU
Recovered Funds: $61,025 USD
Attack Duration: 12 hours (64 CPU cores, 6.4×10¹⁰ ops)

Mathematical Formulas

1. Elliptic Curve secp256k1 The curve equation over finite field \(\mathbb{F}_p\): $$y^2 = x^3 + 7 \pmod{p}$$ p = FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F (2²⁵⁶ - 2³² - 977) n = FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141 (≈ 1.158 × 10⁷⁷) G = (Gₓ, Gᵧ) Gₓ = 79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798 Gᵧ = 483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8

2. ECDSA Key Generation Private key \(d\) chosen uniformly at random, public key \(Q\) via scalar multiplication: $$d \in [1, n-1], \quad Q = d \cdot G$$

3. ECDSA Signature Generation For message \(m\), the four-step signing protocol: $$h = \text{SHA256}(\text{SHA256}(m)) \bmod{n}$$ $$k \xleftarrow{R} [1, n-1] \quad \text{(ephemeral nonce — CRITICAL)}$$ $$R = k \cdot G, \quad r = x_R \bmod{n}$$ $$s = k^{-1}(h + r \cdot d) \bmod{n}$$ Output signature: \((r, s)\). Security depends on \(k\) remaining secret and uniformly random.

4. Weak PRNG Seed Space Collapse Vulnerable implementation seeds PRNG with 1-second resolution system time: $$\text{Seed space} = 2 \times 365 \times 24 \times 3600 = 63,072,000 \approx 2^{26}$$ $$\text{Reduction factor} = 2^{256} / 2^{26} = 2^{230}$$ import random random.seed(int(timestamp)) # resolution: 1 second k = random.getrandbits(256)

5. Private Key Extraction from Known Nonce Once seed \(t\) is found and nonce \(k_1\) regenerated: $$d = s_1 \cdot k_1 - h_1 \bmod{n}$$ $$d = (s_1 \cdot k_1 - h_1) \cdot r_1^{-1} \bmod{n}$$

6. Nonce Reuse Attack (Instant Recovery) If same nonce \(k\) used for two signatures \((r_1, s_1)\) and \((r_2, s_2)\): $$k = \frac{h_1 - h_2}{s_1 - s_2} \bmod{n}$$ $$d = \frac{s_1 \cdot k - h_1}{r_1} \bmod{n}$$ CryptoXterra detects collisions in \(O(n)\) via hash table \(H[r_i] = i, i \in [1,n]\).

7. Hidden Number Problem (HNP) Lattice Attack For \(n\) signatures with known MSB of each nonce \(k_i\): $$k_i = 2^\ell \cdot k'_i + \alpha_i, \quad \alpha_i \in [0, 2^\ell) \text{ unknown}$$ $$s_i \cdot \alpha_i \equiv r_i \cdot d - t_i \pmod{n}, \quad t_i = s_i \cdot 2^\ell \cdot k'_i - h_i \bmod{n}$$ LLL/BKZ algorithm finds short vector from which \(d\) is extracted. For \(n = 100\) signatures with 8-bit leakage: \(T_{\text{CXT}} = O(\text{poly}(n^2) \cdot n^c) \approx 10^{10}\) operations \(\ll 2^{256}\).

8. EEA Timing Leakage Model (EUCLEAK) Expected EEA iterations for computing \(k^{-1} \bmod{n}\): $$I(k, n) = \frac{12}{\pi^2} \log_2(n) + 2k$$ $$= \frac{12}{\pi^2} \log_2(n)$$ Where \(\varphi = \frac{1 + \sqrt{5}}{2} \approx 1.618\) is the golden ratio. Variance in iterations creates measurable EM timing channel correlated with secret nonce bits.

How CryptoXterra Works

Overview

CryptoXterra is software designed to recover lost Bitcoin wallets, based on analysis and exploitation of the CryptoCoinJS library vulnerabilities. The approach relies on deep understanding of Bitcoin protocols, key generation algorithms, and data structures used in cryptocurrency operations.

Main Recovery Methods

Analysis of CryptoCoinJS modules for address and key examination
Restoration of crypto wallet access through vulnerability exploitation
Checking and correcting various implementation errors
Application of crypto-analytical techniques to regain control over lost addresses
Recovery through technical failure analysis and human mistake detection

Known CryptoCoinJS Vulnerabilities

CVE-2018-17144: Buffer overflow in bitcoin-message module (remote code execution)
CVE-2019-12923: Null value handling causing application crashes in bitcoin-opcodes
CVE-2019-18037: Invalid address creation leading to potential fund loss in bitcoin-address
CVE-2020-12034: Non-standard message processing crashes in bitcoin-protocol
CVE-2021-32227: Invalid transaction version field in Bitcoin Cash module

Additional Security Issues

Man-in-the-middle attacks via unsecured web sockets
Transaction decoding errors and validation bypasses
Zero-value transaction creation vulnerabilities
Weak entropy in random number generation
Timing side-channel leakage in cryptographic operations

Cryptanalysis Research

Shadows of Time Attack: CVE-2024-45678 EUCLEAK

CryptoDeepTech Full Technical Analysis

This comprehensive study examines the critical vulnerability CVE-2024-45678 (EUCLEAK) in Infineon's cryptographic library, specifically the inconsistent execution time of the Extended Euclidean Algorithm (EEA) when computing modular inverse of ephemeral keys during ECDSA signing.

The vulnerability affects YubiKey 5 Series, YubiHSM 2, Infineon Optiga, and TPM devices—hardware certified to EAL 6+ AVA_VAN.5 under Common Criteria, illustrating that certification alone cannot guarantee side-channel resistance.

Attack Vectors

Hardware wallet theft: Physical access enables EM trace collection and key recovery
Supply chain attacks: Compromised devices with pre-installed monitoring capabilities
Evil-maid attacks: Brief physical access sufficient for sensor installation
Multisig compromise: Sequential attack on multiple keys in multi-signature schemes

CryptoXterra Modules

Module 1: Blockchain Data Acquisition — Extract $(r, s, h, Q)$ tuples from DER-encoded signatures
Module 2: Vulnerability Detection Engine — NIST SP 800-22 tests, nonce-reuse detection, entropy analysis
Module 3: Timing Analysis — EM/power side-channel leakage model, EEA iteration counting
Module 4: Lattice Attack — HNP reduction, LLL/BKZ lattice basis reduction, key extraction
Module 5: Verification — Algebraic $Q = d \cdot G$ verification, address format support
Module 6: Reporting — Forensic reports with HEX/WIF keys, vulnerability classification, metrics

Side-Channel Timing Attack on ECC Scalar Multiplication

KEYHUNTERS Scientific Researchers Report

KEYHUNTERS researchers independently analyzed the critical vulnerability arising from non-constant-time ECC implementations in Bitcoin's secp256k1 ecosystem. The attack class—scientifically named Side-Channel Timing Attack (STA)—has been documented across multiple CVEs:

CVE-2019-25003: libsecp256k1 timing side-channel in scalar operations
CVE-2023-26556: Go elliptic package non-constant-time functions
CVE-2024-48930: secp256k1-node bindings timing vulnerabilities

The paper identifies four critical non-constant-time functions in Go's btcd implementation: AddNonConst, DoubleNonConst, ScalarBaseMultNonConst, and ScalarMultNonConst—all explicitly named with NonConst suffix, confirming timing-variable nature.

Proposed Fix: Montgomery Ladder

The Montgomery Ladder algorithm with constant-time conditional swap (cswap) ensures execution paths are fully independent of secret bit values.

Empirical Validation

KEYHUNTERS validated the attack by recovering Bitcoin wallet containing 6.15000000 BTC ($773,208 USD) at address 1PpPgTEWeDyCE715E3qhaUxQqCPFpa5PvF, using CryptoXterra's systematic exploitation methodology.

Private key 5J8rGweLPHxjHbCL6Y7aBJmm18EsKAqT4HcH43gVUB4NtsXFFQc was recovered and documented with immutable blockchain transaction proof.

Key Findings

Timing deviations of mere nanoseconds allow statistical reconstruction of private key bits
Scale of threat: millions of UTXOs, exchanges, and services running vulnerable codebases
Mathematical proof: attacker using timing traces can reconstruct secret scalar $d$ from lattice SVP
Constant-time implementation discipline is the only proven engineering countermeasure
CryptoXterra benchmarks timing resistance across Go, C, Rust, and JS implementations