Generating anomalous elliptic curves

نویسندگان

  • Franck Leprévost
  • Jean Monnerat
  • Sébastien Varrette
  • Serge Vaudenay
چکیده

In 1999, Smart has shown how to solve in linear time ECDLP for elliptic curves of trace 1 defined over a prime finite field Fp, the so-called anomalous elliptic curves. In this article, we show how to construct such cryptographically weak curves for primes p of industrial length, using complex multiplication theory.

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عنوان ژورنال:
  • Inf. Process. Lett.

دوره 93  شماره 

صفحات  -

تاریخ انتشار 2005