Supersingular hyperelliptic curves of genus 2 over finite fields

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In this paper we describe an elementary criterion how to determine supersingular hyperelliptic curves of genus 2, directly using only the given Weierstrass equation. A family of the hyperelliptic curve H/Fp of the type v2=u5+a and v2=u5+au have been studied.

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论文评审过程:Available online 8 May 2004.

论文官网地址:https://doi.org/10.1016/j.amc.2004.03.030