We consider bit security of public key cryptosystem XTR, presented by Lenstra and Verheul in 2000. Using the list-decoding method, we prove finding one of its pre-image of XTR if single bit of its plaintext is predicted with a non-negligible advantage. That is, every single bit of plaintext of XTR is a hardcore predicate if XTR is one-way.
CITATION STYLE
Lv, K., Ren, S. W., & Qin, W. (2016). The security of individual bit for XTR. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9977 LNCS, pp. 87–98). Springer Verlag. https://doi.org/10.1007/978-3-319-50011-9_7
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