Definition ∞ A cryptographic assumption is a fundamental premise about the computational difficulty of solving certain mathematical problems, forming the basis for the security of cryptographic systems. These assumptions assert that specific operations are computationally infeasible for any adversary, even with advanced resources. The reliability of digital security, including blockchain integrity, rests upon the continued validity of these assumptions. It is a bedrock of digital trust.
Context ∞ The security of virtually all digital assets and blockchain networks relies on underlying cryptographic assumptions. News sometimes addresses the emergence of new computational methods or theoretical breakthroughs that could challenge these assumptions, particularly concerning quantum computing. Research into post-quantum cryptography directly addresses the need for new assumptions to maintain long-term security. This area is critical for future digital resilience.
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