## Cryptology ePrint Archive: Report 2007/175

Embedding Degree of Hyperelliptic Curves with Complex Multiplication

Christian Robenhagen Ravnshoj

Abstract: Consider the Jacobian of a genus two curve defined over a finite field and with complex multiplication. In this paper we show that if the l-Sylow subgroup of the Jacobian is not cyclic, then the embedding degree of the Jacobian with respect to l is one.

Category / Keywords: Hyperelliptic curve cryptography.