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Lattice basis reduction algorithms have contributed a lot to cryptanalysis of RSA systems. A typical application is Boneh-Durfee's seminal work for breaking low private key RSA (and its successors in other applications). Although it's well known that this technique is not guaranteed to succeed, there is no thorough proof yet when it fails. In this paper, we summarize the Boneh-Durfee-like algorithms...
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