Supersingular hyperelliptic curves of genus 2 over finite fields

Young Ju Choie, Eun Kyung Jeong, Eun Jeong Lee
2005 Applied Mathematics and Computation  
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 =F p of the type v 2 ¼ u 5 þ a and v 2 ¼ u 5 þ au have been studied.
doi:10.1016/j.amc.2004.03.030 fatcat:as2ie2jlefbtffbtae3kzii5rq