A Novel Error Reconciliation Facing Chaotic Key Distribution

Secure communication is undoubtedly an important issue of socialdevelopment. In order to achieve the confidentiality of the information, thesecret key distribution with high speed and security is a must solved difficulty.Due to the limitation of secret key distribution based on security of thetraditional computer computing rate, the realization of quantum computer makeit facing a big challenge. Therefore, the secret key distribution scheme based onphysical phenomena achieves widely attention. And quantum keydistribution(QKD) and chaotic key distribution(CKD)are two typical methodsamong them. However, as quantum key distribution is hard to be realized inpractice, many methods on chaotic key distribution have been examined. Thatleads to a higher requirement for the secret key error bit rate(EBR) tolerance andefficiency in optical domain. It is a big problem in recent error reconciliation for the complexity and multiple transmission. The difficulty was overcome by anew error reconciliation inverted triangle coordinate positioning. We put ourraw-key in a lower matrix model and calculate in binary search along three sides.The calculated keys were mutual transformed in public channel.The error bitswere pointed out by comparing the public keys. Two mutual injection opticalfeedback lasers were used for reaching the high correlation chaotic state, thenthe raw-key was distilled. After our error reconciliation is done, the secret keyEBR reaches a value of10-8-10-10. Through this method, we delete the error bitsimply and effectively, the final EBR is enough to satisfy the EBR tolerance inpractice.The mainly work can be included as follows：1. Aiming at the chaotic secret key distribution method, we give the secretkey distribution scheme realized by chaotic synchronization based on mutualinjection and optical feedback semiconductor laser, and the specificimplementation steps were described in detail, and the security of this scheme isanalyzed.2. In order to realize the chaotic synchronization based on mutual injectionand optical feedback semiconductor laser, the model of establishment two laserschaotic zero lag synchronization is necessary. Through the study of the outputsignal, the frequency spectrum and correlation, we observe the chaoticsynchronization characteristics. It leads to a result that a pair of signal isobtained with randomness and consistency. The information of the signal is used in chaotic key distribution. Moreover, the raw-key which informationreconciliation needed is distilled by changing the detuning parameter. Then, thedata which is used in information reconciliation has prepared.3. We present a new error reconciliation method--inverted trianglecoordinate positioning. With using the method of the lower triangular matrixwith three equal sides property and the original binary search, it realize thefurther correction for chaotic secret key distribution with low bit error rate.Finally, this method makes the final error bit rate meeting the tolerance valuein optical communication. Through the implementation of the methodprogramming, we point out the error bit.Using this method, we deal with thesequences with different length or different value of bit error rate. Theexperiment result is analyzed through the data. By compared to the resultwhich correct error bit through the Cascade method in the same situation, weget a lower value of the final error bit rate. The advantages and disadvantagesof the methods were explained and the theoretical derivation.4. Summarize the contents in this paper and put forward prospects for thefuture.