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

Finite Fields and their Applications (2004) 10(4) 583-614
DOI: 10.1016/j.ffa.2003.12.003
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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(2g+1)n, g=1,2,3. These results have applications to hyperelliptic curve cryptography. © 2004 Elsevier Inc. All rights reserved.

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Choie, Y., & Jeong, E. (2004). Isomorphism classes of elliptic and hyperelliptic curves over finite fields F(2g+1)n. Finite Fields and Their Applications, 10(4), 583–614. https://doi.org/10.1016/j.ffa.2003.12.003

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