Attack on RSA-Type Cryptosystems Based on Singular Cubic Curves over Z/nZ

@article{Chua1999AttackOR,
  title={Attack on RSA-Type Cryptosystems Based on Singular Cubic Curves over Z/nZ},
  author={Seng Kiat Chua and Ka Hin Leung and San Ling},
  journal={Theor. Comput. Sci.},
  year={1999},
  volume={226},
  pages={19-27}
}
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. c © 1999 Elsevier Science B.V. All rights reserved. 

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