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Isomorphism classes of genus-2 hyperelliptic curves over finite fields

AuthorsHernández Encinas, Luis; Menezes, Alfred J.; Muñoz Masqué, Jaime
hyperelliptic curves over finite fields
public-key cryptography
Issue Date2002
CitationAppl. Algebra Engrg. Comm. Comput.
Series13, 1
AbstractWe propose a reduced equation for hyperelliptic curves of genus $2$ over finite fields $\fq$ of $q$ elements with characteristic different from $2$ and $5$. We determine the number of isomorphism classes of genus-2 hyperelliptic curves having an $\fq$-rational Weierstrass point. These results have applications to hyperelliptic curve cryptography.
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