Public-Key Turbo-Polar Codes as a Candidate for Post-Quantum Cryptography

In order to improve the security of digital data communication, an asymmetric cryptographic algorithm based on turbo-polar code is proposed in this paper. On the encoding side, the system uses the interleaving of information bits and the puncturing of parity bits to encrypt with the private key. The public key is composed of interleavers, systematic polar code encoders, and puncturers. Generalized logistic map (GLM) is selected to reduce the private key storage space. The security of public-key turbo-polar codes (PKTPC) is analyzed at the end of this paper. Simulation results show the SNR of PKTPC is only 0.1 higher than the SNR of parallel concatenated systematic polar code (PCSP) with the same frames error rates.