Definition ∞ Asymptotic security refers to the cryptographic strength of a system as the computational resources available to an adversary approach infinity. It evaluates how the difficulty of breaking a cryptographic scheme scales with increasing parameters, such as key size or computation time. A system with strong asymptotic security becomes progressively harder to compromise with greater adversarial power.
Context ∞ In cryptocurrency and blockchain, asymptotic security is a theoretical measure that guides the design of long-term resilient protocols. While practical security often concerns current computational limits, asymptotic analysis helps assess a system’s resistance to future advances in computing, including potential quantum computing threats. This perspective influences the selection of cryptographic primitives for enduring digital asset security.
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