Implementation of Classic McEliece key generation based on Goppa binary code

With the development of quantum computer, the security of traditional public key encryption algorithm cannot meet the demand, and post quantum cryptography that can resist the attack of quantum computer is needed. The Classic McEliece post quantum algorithm based on coding has maintained the strongest security record for more than 40 years. This paper designs a Classic McEliece key generation system based on Goppa binary code for PQCRYPTO recommended parameters: m=13, t=119, n=6960. Through the fixed circuit structure, the clock cycle consumption caused by multi parameter configuration can be reduced. The synthesis and simulation of the system based on the Ultrascale+ FPGA are completed, and the generation of the key can be completed in about 10 million cycles, which reduces the clock cycle by 1.7% compared with the previous work.