Constructing elliptic curves with given group order over large finite fields

SIMATH—a computer algebra system for number theoretic applications

ISSAC '97 Proceedings of the 1997 international symposium on Symbolic and algebraic computation

The Diffie–Hellman Protocol

Designs, Codes and Cryptography - Special issue on towards a quarter-century of public key cryptography

The State of Elliptic Curve Cryptography

Designs, Codes and Cryptography - Special issue on towards a quarter-century of public key cryptography

Efficient Construction of Cryptographically Strong Elliptic Curves

INDOCRYPT '00 Proceedings of the First International Conference on Progress in Cryptology

Elliptic Curves of Prime Order over Optimal Extension Fields for Use in Cryptography

INDOCRYPT '01 Proceedings of the Second International Conference on Cryptology in India: Progress in Cryptology

Efficient Implementation of Schoof's Algorithm

ASIACRYPT '98 Proceedings of the International Conference on the Theory and Applications of Cryptology and Information Security: Advances in Cryptology

Construction of Secure Elliptic Cryptosystems Using CM Tests and Liftings

ASIACRYPT '98 Proceedings of the International Conference on the Theory and Applications of Cryptology and Information Security: Advances in Cryptology

Efficient Computation of Singular Moduli with Application in Cryptography

FCT '01 Proceedings of the 13th International Symposium on Fundamentals of Computation Theory

Generating Elliptic Curves of Prime Order

CHES '01 Proceedings of the Third International Workshop on Cryptographic Hardware and Embedded Systems

Fast Key Exchange with Elliptic Curve Systems

CRYPTO '95 Proceedings of the 15th Annual International Cryptology Conference on Advances in Cryptology

Cited References

Computer algebra handbook

Finding good random elliptic curves for cryptosystems defined over IF2n

EUROCRYPT'97 Proceedings of the 16th annual international conference on Theory and application of cryptographic techniques

Counting the number of points on elliptic curves over finite fields: strategies and performances

EUROCRYPT'95 Proceedings of the 14th annual international conference on Theory and application of cryptographic techniques

Ramanujan's class invariants and their use in elliptic curve cryptography

Computers & Mathematics with Applications

Constructing elliptic curves with prescribed embedding degrees

SCN'02 Proceedings of the 3rd international conference on Security in communication networks

Elliptic curve for data protection

Proceedings of the 2011 Information Security Curriculum Development Conference

Spreading alerts quietly and the subgroup escape problem

ASIACRYPT'05 Proceedings of the 11th international conference on Theory and Application of Cryptology and Information Security

Generating prime order elliptic curves: difficulties and efficiency considerations

ICISC'04 Proceedings of the 7th international conference on Information Security and Cryptology

Pairing-Friendly elliptic curves of prime order

SAC'05 Proceedings of the 12th international conference on Selected Areas in Cryptography