Use of elliptic curves in cryptography
Lecture notes in computer sciences; 218 on Advances in cryptology---CRYPTO 85
Journal of Cryptology
A remark concerning m-divisibility and the discrete logarithm in the divisor class group of curves
Mathematics of Computation
Elliptic Curve Public Key Cryptosystems
Elliptic Curve Public Key Cryptosystems
A subexponential algorithm for the discrete logarithm problem with applications to cryptography
SFCS '79 Proceedings of the 20th Annual Symposium on Foundations of Computer Science
Algebraic Function Fields and Codes
Algebraic Function Fields and Codes
Montgomery Ladder for All Genus 2 Curves in Characteristic 2
WAIFI '08 Proceedings of the 2nd international workshop on Arithmetic of Finite Fields
Efficient divisor class halving on genus two curves
SAC'06 Proceedings of the 13th international conference on Selected areas in cryptography
Halving for the 2-Sylow subgroup of genus 2 curves over binary fields
Finite Fields and Their Applications
Isomorphism classes of hyperelliptic curves of genus 3 over finite fields
Finite Fields and Their Applications
Isomorphism classes of elliptic and hyperelliptic curves over finite fields F(2g+1)n
Finite Fields and Their Applications
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We present a simple and direct method of counting the number of the isomorphism classes of hyperelliptic curves of genus 2 over finite fields with characteristic different from 5. In this case it turns out that the number of isomorphism classes of genus-2 hyperelliptic curve over a given field Fq is on the order of q3. These results have applications to hyperelliptic curve cryptography.