Why you cannot even hope to use Gro¨bner bases in public key cryptography: an open letter to a scientist who failed and a challenge to those who have not yet failed

A Linear Algebraic Attack on the AAFG1 Braid Group Cryptosystem

ACISP '02 Proceedings of the 7th Australian Conference on Information Security and Privacy

On the Security of HFE, HFEv- and Quartz

PKC '03 Proceedings of the 6th International Workshop on Theory and Practice in Public Key Cryptography: Public Key Cryptography

Gröbner bases for public key cryptography

Proceedings of the twenty-first international symposium on Symbolic and algebraic computation

Incomplete Gröbner basis as a preconditioner for polynomial systems

Journal of Computational and Applied Mathematics

Efficient GF(pm) arithmetic architectures for cryptographic applications

CT-RSA'03 Proceedings of the 2003 RSA conference on The cryptographers' track

Lattice Polly Cracker cryptosystems

Journal of Symbolic Computation

All in the XL family: theory and practice

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

Polly cracker, revisited

ASIACRYPT'11 Proceedings of the 17th international conference on The Theory and Application of Cryptology and Information Security

Polly cracker, revisited, revisited

PKC'12 Proceedings of the 15th international conference on Practice and Theory in Public Key Cryptography