Use of elliptic curves in cryptography
Lecture notes in computer sciences; 218 on Advances in cryptology---CRYPTO 85
High-Radix Montgomery Modular Exponentiation on Reconfigurable Hardware
IEEE Transactions on Computers
Handbook of Applied Cryptography
Handbook of Applied Cryptography
Efficient Subgroup Exponentiation in Quadratic and Sixth Degree Extensions
CHES '02 Revised Papers from the 4th International Workshop on Cryptographic Hardware and Embedded Systems
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Algebraic torus-based cryptosystems are an alternative for Public-Key Cryptography (PKC). It maintains the security of a larger group while the actual computations are performed in a subgroup. Compared with RSA for the same security level, it allows faster exponentiation and much shorter bandwidth for the transmitted data. In this work we implement a torus-based cryptosystem, the so-called CEILIDH, on a multicore platform with an FPGA. This platform consists of a Xilinx MicroBlaze core and a multicore coprocessor. The platform supports CEILIDH, RSA and ECC over prime fields. The results show that one 170bit torus T6 exponentiation requires 20 ms, which is 5 times faster than 1024--bit RSA implementation on the same platform.