The Module SIS (Short Integer Solution) problem is a mathematical problem foundational to the security of many lattice-based cryptographic schemes. It involves finding a short, non-zero integer vector that satisfies a given system of linear equations over a module. The hardness of solving this problem on average is a key assumption for the security of cryptographic primitives designed to be resistant to quantum computer attacks. It is a generalization of the standard SIS problem.
Context
The Module SIS problem is a significant area of research in post-quantum cryptography, directly impacting the long-term security of digital assets against quantum threats. Cryptographers continually analyze its hardness and develop new schemes whose security relies upon it. News in this specialized domain often covers advancements in lattice cryptography, including new proofs of security or potential vulnerabilities related to the Module SIS problem. Its relevance to blockchain technology lies in future-proofing cryptographic foundations.
The first lattice-based folding protocol enables recursive SNARKs to achieve post-quantum security while matching the performance of pre-quantum schemes.
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