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Isomorphism classes of ordinary elliptic curves over fields of characteristic 3

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Date

2007

Authors

Özbudak, Ferruh

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Matematik
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Abstract

Ordinary elliptic curves over fields of characteristic 3 can be represented by y 2 = x 3 + ax 2 + b where a, b ≠ 0 ∈ . In this paper we count the number of different isomorphism classes of ordinary elliptic curves over finite fields of characteristic three. We show there are (2q−2) different isomorphism classes.

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Elliptic Curve, Elliptic Curf, Isomorphism Class, Elliptic Curve Cryptography, Discrete Logarithm Problem

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Citation

Cenk, Murat; Özbudak, Ferruh (2007). "Isomorphism classes of ordinary elliptic curves over fields of characteristic 3", Mathematical Methods in Engineering, pp. 151-158.

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Mathematical Methods in Engineering

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Start Page

151

End Page

158