| 1. | One geometric characterization of hyperelliptic curves is via Weierstrass points.
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| 2. | The Clifford index measures how far the curve is from being hyperelliptic.
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| 3. | Hence we are left with elliptic curves and hyperelliptic curves of genus 2.
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| 4. | The general hyperelliptic case is a bit more complicated.
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| 5. | Variants using hyperelliptic curves have also been proposed.
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| 6. | They include for example the "'hyperelliptic integrals "'of type
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| 7. | Hence these hyperelliptic curves must be avoided.
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| 8. | He went to Leipzig and hyperelliptic, and a new class now known as abelian functions.
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| 9. | But if the hyperelliptic curve is chosen poorly, the DLP will become quite easy to solve.
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| 10. | His research was focused on algebra and its application to geometry, elliptic functions and hyperelliptic functions.
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