ALGORITHM OF THE DIGITAL SIGNATURE ON AN ELLIOTIC CURVE


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The existing algorithms of the digital signature on an elliptic curve are analyzed in article. Requirements for construction of algorithm of the digital signature on an elliptic curve over a ring Z are worked out, all calculations in it are made with use of system of residual classes.

参考

  1. Menezes A., van Oorchot P., Vanstone S. Handbook of applied cryptography. CRC press, 2. 1997. -816 p.
  2. Ростовцев А.Г. Маховенко Е.Б. Два подхода к логарифмированию на эллиптической кривой. <http://www.ssl.stu.neva.ru/ssl/>archieve/lift1.pdf
  3. Gordon M.D. A Survey of Fast Exponentiation Methods // Journal of Algorithms, 27. 1998. -P. 129-146.
  4. Menezes A., Okamoto T., Vanstone S., Reducing elliptic curve logarithms to logarithms in a finite field // IEEE Transactions on Information Theory, 39, 1993. - P. 1639-1660.

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