Isomorphism classes of ordinary elliptic curves over fields of characteristic 3
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Date
2007
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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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Keywords
Elliptic Curve, Elliptic Curf, Isomorphism Class, Elliptic Curve Cryptography, Discrete Logarithm Problem
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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
