任意环和模的环- lwe的伪随机性

Chris Peikert, O. Regev, Noah Stephens-Davidowitz
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引用次数: 124

摘要

我们给出了从最坏情况(理想)格问题直接到决策(环-)LWE的多项式时间量子约简。这扩展到决定所有最坏情况下的硬度结果,这是以前已知的搜索版本,对于相同或更好的参数,并且没有对模量或数字段的代数限制。事实上,我们的约简是第一个适用于任意数域和任意模的决策环- lwe的方法。
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Pseudorandomness of ring-LWE for any ring and modulus
We give a polynomial-time quantum reduction from worst-case (ideal) lattice problems directly to decision (Ring-)LWE. This extends to decision all the worst-case hardness results that were previously known for the search version, for the same or even better parameters and with no algebraic restrictions on the modulus or number field. Indeed, our reduction is the first that works for decision Ring-LWE with any number field and any modulus.
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