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• W2079198712 abstract "We extend the notion of an invalid-curve attack from elliptic curvesto genus 2 hyperelliptic curves. We also show that invalid singular (hyper)ellipticcurves can be used in mounting invalid-curve attacks on (hyper)elliptic curvecryptosystems, and make quantitative estimates of the practicality of theseattacks. We thereby show that proper key validation is necessary even in cryptosystemsbased on hyperelliptic curves. As a byproduct, we enumerate theisomorphism classes of genus g hyperelliptic curves over a finite field by a newcounting argument that is simpler than the previous methods." @default.
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• W2079198712 date "2010-01-01" @default.
• W2079198712 modified "2023-10-17" @default.
• W2079198712 title "Invalid-curve attacks on (hyper)elliptic curve cryptosystems" @default.
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• W2079198712 doi "https://doi.org/10.3934/amc.2010.4.307" @default.
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