Hyperelliptic curve cryptography is similar to elliptic curve cryptography (ECC) insofar as the Jacobian of a hyperelliptic curve is an Abelian group on which to do arithmetic, just as we use the group of points on an elliptic curve in ECC.
Read more about Hyperelliptic Curve Cryptography: Definition, Attacks Against The DLP, Order of The Jacobian
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