Journal of Cryptology
Counting Points on Hyperelliptic Curves over Finite Fields
ANTS-IV Proceedings of the 4th International Symposium on Algorithmic Number Theory
Algebraic Function Fields and Codes
Algebraic Function Fields and Codes
Efficient doubling on genus two curves over binary fields
SAC'04 Proceedings of the 11th international conference on Selected Areas in Cryptography
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We describe a new scalar multiplication method for hyperelliptic curve cryptosystems. The method is obtained by the decomposition of the divisor into the simple divisors. The comparison results show that our method is much more efficient than Frobenius method and Double-and-Add method for some special hyperelliptic curves.