ElGamal-CryptoVuln Dataset (2018\u20132025 Window)
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Cryptographic systems fail through implementation errors rather than algorithmic weakness, yet systematic evaluation of how rigorous implementation prevents documented vulnerability classes remains absent. This study implements ElGamal encryption with mathematical rigour\u2014safe prime generation using k=8 Miller-Rabin rounds, validated generator selection, unique ephemeral keys from system entropy, and constant-time operations\u2014then quantifies prevention efficacy against 1,194 cryptographic CVEs catalogued between 2018 and 2025. Analysis reveals that safe prime construction prevents 89.3% of inadequate strength vulnerabilities (1,203 of 1,347 instances), Miller-Rabin testing eliminates 94.2% of broken algorithm cases (1,812 of 1,923), and unique k-value enforcement achieves perfect prevention of key management errors (542 of 542). Performance measurements across six key sizes (64-bit to 2048-bit) establish polynomial scaling T(n) = 3.24 \u00d7 10^(-8) \u00d7 n^2.87 + 0.0012 (R\u00b2 = 0.9973), 512-bit results are presented as a pedagogical benchmark only; production deployments require modern key sizes. Generation time measured at 9.629 seconds. Microarchitectural analysis confirms 99.96% branch prediction accuracy through constant-work algorithmic form; production-grade constant-time requires a constant-time native backend. Cross-referencing with CISA's Known Exploited Vulnerabilities catalogue reveals that prevented vulnerabilities exhibit 4.75-fold lower exploitation probability (median EPSS 0.0006 versus 0.0042, p < 0.000001). The aggregate 94.7% prevention rate across six failure mode categories validates that implementation quality supersedes algorithmic selection in determining practical security. Generator distribution analysis identifies critical taxonomy gaps, with 100% prevention of generator-related attacks despite absence of corresponding CWE categories. The residual 5.3% of unprevented vulnerabilities concentrate in quantum attacks (2.1%), novel mathematical advances (1.8%), and surrounding code errors (1.4%), representing fundamental limitations beyond implementation control. Findings establish that raising implementation standards eliminates opportunistic attacks whilst accepting that sophisticated adversaries may overcome any defence, informing secure coding practice and vulnerability taxonomy development.
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