Attack on RSA-type cryptosystems based on singular cubic curves over Z/nZ
Several RSA-type cryptosystems based on singular cubic curves have been proposed in recent years (cf. Koyama, Lecture notes in Computer Science, vol. 921, Springer, Berlin, 1995, pp. 329–339; Kuwakado, IEICE Trans. Fund. E78-A (1995) 27–33; Koyama, IEICE Trans. Fund. E77-A (1994) 1309–1318). We show...
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| Main Authors: | , , |
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| 格式: | Article |
| 語言: | English |
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2013
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| 在線閱讀: | https://hdl.handle.net/10356/95880 http://hdl.handle.net/10220/9831 |
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| 機構: | Nanyang Technological University |
| 語言: | English |
| 總結: | Several RSA-type cryptosystems based on singular cubic curves have been proposed in recent years (cf. Koyama, Lecture notes in Computer Science, vol. 921, Springer, Berlin, 1995, pp. 329–339; Kuwakado, IEICE Trans. Fund. E78-A (1995) 27–33; Koyama, IEICE Trans. Fund. E77-A (1994) 1309–1318). We show that these schemes are equivalent and demonstrate that they are insecure if a linear relation is known between two plaintexts. |
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