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In view of research on fully homomorphic encryption scheme proposed by Zvika Brakerski in 2012, we find it is not much efficient, because it requests that $$q/B \ge (O(nlogq))^{L+O(1)}$$ q / B ≥ ( O ( n l o g q ) ) L + O ( 1 ) , and can encrypt only one message at a time. In this paper, we have proved that STP-binary-LWE is hard when LWE is hard, and have modified the fully homomorphic...
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