The Ring SIS Problem, or Ring Learning With Errors problem, is a mathematical challenge central to lattice-based cryptography, a field considered quantum-resistant. It involves finding a short vector in a lattice given noisy linear equations over a polynomial ring. The computational difficulty of solving this problem forms the security basis for several modern cryptographic schemes. This problem is a candidate for post-quantum cryptography, offering protection against attacks by future quantum computers.
Context
The Ring SIS Problem is a key area of research in post-quantum cryptography, addressing the anticipated threat of quantum computers to current encryption standards. Discussions focus on optimizing the efficiency and security parameters of cryptographic protocols built upon this problem. Future developments include the standardization and widespread adoption of Ring SIS-based algorithms in digital signatures and key exchange protocols, securing communications and digital assets against quantum attacks. This research is vital for long-term digital security.
This work delivers the first lattice-based argument with polylogarithmic verification time, resolving the trade-off between post-quantum security and SNARK succinctness.
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