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

نویسندگان

  • Seng Kiat Chua
  • Ka Hin Leung
  • San Ling
چکیده

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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عنوان ژورنال:
  • Theor. Comput. Sci.

دوره 226  شماره 

صفحات  -

تاریخ انتشار 1999