Research On Key Reconciliation Scheme Based On Polar Code

Key negotiation is an important information processing step in the quantum key distribution system and wireless communication physical layer encryption system.It is of great significance for ensuring the security of the key to ensure the completion of the encrypted communication.In this paper,based on the in-depth study of the wireless channel physical layer key agreement protocol and the continuous variable quantum key distribution negotiation protocol,the Polar code is applied as an error correction code to the key agreement.A key agreement protocol based on Polar code inverse coding and a multi-dimensional negotiation protocol for efficient Polar code are proposed in this paper.The title of the paper is Research on Key Reconciliation Scheme Based on Polar Code.The main results are as follows:(1)Applying the Polar code to the key negotiation of the wireless channel,a key agreement protocol based on Polar code inverse coding is proposed.Then,the key agreement protocol based on Polar code inverse coding is introduced in detail from the two methods of original key generation and key agreement.The computational complexity and negotiation performance of the protocol are analyzed by comparing the LDPC-based negotiation protocol.The simulation results show that the decoding success rate of the LDPC code is slightly higher than the Polar code when the initial error rate is very low,but the decoding success rate of the LDPC code increases as the initial error rate increases.The decline is very fast,the reduction is more obvious,and the Polar code is relatively flat.In general,when the initial error rate is in a range greater than 0.2,the Polar code can still obtain better decoding error correction effects,and the LDPC code is basically difficult to achieve successful decoding.(2)An improved negotiation scheme is proposed under the design idea that the communication code is known to freeze bits and freeze bits.In this section,the error correction scheme of the scheme is elaborated,and the complexity of the two schemes and the comparative analysis of the negotiation error correction performance are given in combination with the original scheme.The results show that the improved negotiation protocol can be from the bit error rate and negotiation.The success rate and other angles are not weaker than the original scheme's negotiation performance under the advantage of low complexity.(3)The Polar code is applied to the multi-dimensional negotiation protocol of continuous variable quantum key distribution.Based on the multi-dimensional negotiation protocol based on Polar code,an efficient Polar code multi-dimensional negotiation protocol is proposed.In the multi-dimensional negotiation protocol based on Polar code,the communication parties first group the respective long keys,then convert each set of consecutive vectors into the binary additive white Gaussian noise channel through the multi-dimensional negotiation algorithm,and then correct the two sides by using the Polar code as the error correction code.The bit on the original key is wrong,and finally the exact same encryption key is obtained.Under the design idea of sending more side information through the classical channel to improve the utilization of quantum bits,we propose a scheme of multidimensional negotiation protocol for efficient Polar code,and combine the original multi-dimensional negotiation protocol based on Polar code to the key rate.The analysis analyzes the performance of the high-efficiency Polar code multi-dimensional negotiation protocol through the comparison simulation of the two protocols.The results show that the key rate of the high-efficiency Polar code multi-dimensional negotiation protocol is improved.Besides,this high-efficiency Polar code negotiation can get a better negotiation performance than the original solution,including lower bit error rate and lower misdiagnosis rate.