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设计了一种可用于加密的块结构低密度生成矩阵Block-LDGM码.该码的生成矩阵由一组交织子矩阵组成,且这些交织子矩阵可以用二次交织多项式来描述.以这些二次交织多项式的系数作为密钥,可实现对交织子矩阵的随机化,从而实现对Block-LDGM码的加密.基于三分图,提出多边缘置信度传播算法和滤波衰减消解方法,实现基于Block-LDGM码的低复杂度信息压缩编码.仿真结果表明:设计的可加密BlockLDGM码,具有近香农限的压缩性能,同时具有较高的保密能力.
A low-density block-structured low density LDPCM block-LDGM code is designed.The generation matrix of the code consists of a set of interleaved matrices, and these interleaved submatrices can be described by quadratic interleaving polynomials. Interleaving polynomial coefficient as the key to realize the randomization of the interleaving submatrix, so as to realize Block-LDGM code encryption.Based on the ternary diagram, a multi-edge confidence propagation algorithm and a filtering attenuation digestion method are proposed to realize the Block- Low complexity LDGM code.The simulation results show that the designed BlockLDGM code has the compression performance near Shannon limit and the high security capability.