Jacobians of hyperelliptic curves defined over a finite field are used in constructing cryptosystems based on discrete logarithm. The aim of this paper is to present some hyperelliptic curves defined over $\mathbb{F}_{4}$ whose Jacobians provide cryptosystems resisting the currently known attacks. The key tool for this purpose is the classification of $L$-polynomials of hyperelliptic curves defined over $\mathbb{F}_{4}$.
Jacobians of hyperelliptic curves for cryptography
SONNINO, Angelo
2002-01-01
Abstract
Jacobians of hyperelliptic curves defined over a finite field are used in constructing cryptosystems based on discrete logarithm. The aim of this paper is to present some hyperelliptic curves defined over $\mathbb{F}_{4}$ whose Jacobians provide cryptosystems resisting the currently known attacks. The key tool for this purpose is the classification of $L$-polynomials of hyperelliptic curves defined over $\mathbb{F}_{4}$.File in questo prodotto:
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