Definition ∞ The Small Integer Solution problem, or SIS, is a computational problem central to the security of lattice-based cryptography. It involves finding a short, non-zero integer vector that satisfies a specific modular linear equation. The difficulty of solving SIS, even with quantum computers, forms the basis for many post-quantum cryptographic schemes. This problem is vital for developing new encryption and digital signature methods that can withstand attacks from future quantum adversaries, thereby securing digital assets.
Context ∞ The SIS problem is a cornerstone of ongoing research in post-quantum cryptography, aiming to secure digital communications and assets against quantum threats. A key discussion involves balancing the security parameters derived from SIS with the practical efficiency requirements for real-world cryptographic implementations. Future cryptographic standards will increasingly rely on the hardness of problems like SIS to maintain long-term security.
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