Statistical Security

Definition ∞ Statistical Security refers to the level of confidence in cryptographic protocols or systems based on probabilistic reasoning and mathematical analysis. It quantamines the likelihood of an adversary successfully compromising the system, typically by bounding the probability of failure below a certain negligible threshold. This concept is fundamental to establishing trust in cryptographic assurances.
Context ∞ Discussions surrounding statistical security are integral to the formal verification of cryptographic algorithms and blockchain protocols. News often touches upon the security audits of smart contracts and the theoretical underpinnings of consensus mechanisms, where statistical guarantees are paramount. Analysts frequently assess the robustness of protocols against probabilistic attacks and the strength of their security assumptions.