Isomorphism classes of elliptic and hyperelliptic curves over finite fields F(2g+1)n

Authors:
Youngju Choie;Eunkyung Jeong
Affiliations:
Department of Mathematics, Pohang University of Science and Technology, Pohang 790-784, South Korea;Department of Mathematics, Pohang University of Science and Technology, Pohang 790-784, South Korea
Venue:
Finite Fields and Their Applications
Year:
2004

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Abstract

We give the number and representatives of isomorphism classes of hyperelliptic curves of genus g defined over finite fields F"("2"g"+"1")"^"n, g=1,2,3. These results have applications to hyperelliptic curve cryptography.