Modulus search for elliptic curve cryptosystems

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Abstract

We propose a mathematical problem, and show how to solve it elegantly. This problem is related with elliptic curve cryptosystems (ECC). The solving methods can be applied to a new paradigm of key generations of the ECC.

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Koyama, K., Tsuruoka, Y., & Kunihiro, N. (1999). Modulus search for elliptic curve cryptosystems. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1716, pp. 1–7). Springer Verlag. https://doi.org/10.1007/978-3-540-48000-6_1

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