Research and implementation of dual-field elliptic curve cryptographic coprocessor based on TPM

In order to enhance the security of the Trusted Platform Module (TPM), an elliptic curve crypto coprocessor that supports dual finite fields is designed and implemented. Point multiplication operation uses the multiply-point addition algorithm, which not only reduces the chip area but also guarantees the operation speed.By multiplexing the shift registers and combining the multiplication and reduction processes, the operation efficiency of the modular multiplication algorithm is greatly improved. The calculation of (x^-1) mod p in the modular inverse algorithm is improved to (y*x^-1) mod p, which reduces the extra modular multiplication operation after the inverse operation and reduces the implementation complexity. SystemC was used to model the algorithm and cooperated with RTL circuit for automatic simulation, which verified the correctness of the improved algorithm circuit, improved the verification efficiency and greatly reduced the research and development cycle.