基于算术编码的低冗余LT码及其在安全通信中的应用

Low redundancy LT code based on arithmetic coding and its application in secure communication

为克服喷泉码需传输数据量大、信息透明的缺点,在LT传输(Luby transform,LT)码的生成矩阵中引入具有保密性的算术编码,提出一种低冗余LT(low redundancy LT,LRLT)码。LRLT码以生成矩阵的列为单位对邻居信息进行序列建模和无损压缩,能够在保持传统LT码结构的前提下,有效减少所需传输的数据量。此外,LRLT码的序列模型能够以密钥为依据进行交替变换,使得截获端无法正确恢复原始信息。仿真结果表明,与优化前的LT码相比,LRLT码信息传输的有效性显著提高,且具有抗截获能力,可应用于安全通信领域。

In order to overcome the problems of high redundancy and information transparency within Luby transform （LT） codes, based on arithmetic coding with confidentiality, a low redundancy LT （LRLT） code is designed. For the LRLT code, the neighbor information is modeled as sequence and losslessly compressed by taking the columns of the generation matrix as unit. This scheme keeps the structure of the LT code and effec- tively reduces the amount of transferred data, Moreover, the sequence model of the LRLT code can be alterna- ted according to the key, which guarantees that the interceptor is unable to recover the original information suc- cessfully. Simulation results show that the LRLT code improves the effectiveness and confidentiality of trans- mission in comparison with the LT code and can be applied to secure communication.