Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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A CLASSIFICATION OF ELLIPTIC CURVES OVER SOME FINITE FIELDS

  • Park, Hwa-Sin (Department of Mathematics, Chonbuk National University) ;
  • Park, Joog-Soo (Department of Mathematics, Chonbuk National University) ;
  • Kim, Daey-Eoul (Department of Mathematics, Chonbuk National University)
  • Published : 2001.05.01

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Abstract

In this paper, we classify elliptic curve by isomorphism classes over some finite fields. We consider finite field as a quotient ring, saying $\mathbb{Z}[i]/{\pi}\mathbb{Z}[i]$ where $\pi$ is a prime element in $\mathbb{Z}[i]$. Here $\mathbb{Z}[i]$ is the ring of Gaussian integers.

Keywords

References

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