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On the Shortness of Vectors to be found by the Ideal-SVP Quantum Algorithm
Quantum Cryptanalysis Cyclotomic Ideal Lattices
2019/3/4
The hardness of finding short vectors in ideals of cyclotomic number fields (hereafter, Ideal-SVP) can serve as a worst-case assumption for numerous efficient cryptosystems, via the average-case probl...
Short Stickelberger Class Relations and application to Ideal-SVP
Lattices Ideal-SVP Cryptanalysis
2016/12/9
In this work, we generalize the previous result to general ideals. We show an efficient way of finding a close enough principal multiple of any ideal by exploiting the classical theorem that, in our s...