In this paper we consider the problem of finding bounds on the size of lexicographic constant-weight equidistant codes over the alphabet of three, four and five elements with 2 ≤ w 【n ≤ 10. Computer search of lexic...In this paper we consider the problem of finding bounds on the size of lexicographic constant-weight equidistant codes over the alphabet of three, four and five elements with 2 ≤ w 【n ≤ 10. Computer search of lexicographic constant-weight equidistant codes is performed. Tables with bounds on the size of lexicographic constant-weight equidistant codes are presented.展开更多
Decoding by alternating direction method of multipliers(ADMM) is a promising linear programming decoder for low-density parity-check(LDPC) codes. In this paper, we propose a two-step scheme to lower the error floor of...Decoding by alternating direction method of multipliers(ADMM) is a promising linear programming decoder for low-density parity-check(LDPC) codes. In this paper, we propose a two-step scheme to lower the error floor of LDPC codes with ADMM penalized decoder.For the undetected errors that cannot be avoided at the decoder side, we modify the code structure slightly to eliminate low-weight code words. For the detected errors induced by small error-prone structures, we propose a post-processing method for the ADMM penalized decoder. Simulation results show that the error floor can be reduced significantly over three illustrated LDPC codes by the proposed two-step scheme.展开更多
介绍用于光纤通信的速率为2.5 G b/s的高速RS(255,239)译码器设计。对输入信号中可能出现的超出译码器纠错能力的误码可进行检测判断,保证了误码不扩散。对译码器中大量使用的有限域乘法器进行了优化设计,尤其对并行钱氏搜索电路中的乘...介绍用于光纤通信的速率为2.5 G b/s的高速RS(255,239)译码器设计。对输入信号中可能出现的超出译码器纠错能力的误码可进行检测判断,保证了误码不扩散。对译码器中大量使用的有限域乘法器进行了优化设计,尤其对并行钱氏搜索电路中的乘法器采用了按组优化设计方法,与直接实现方法相比,复杂度降低了45%。该RS译码器已用FPGA进行了功能验证,并用TSM C 0.18μm CM O S工艺实现,Synopsys综合后的仿真结果表明译码器电路时钟工作频率达到了330 MH z。展开更多
文摘In this paper we consider the problem of finding bounds on the size of lexicographic constant-weight equidistant codes over the alphabet of three, four and five elements with 2 ≤ w 【n ≤ 10. Computer search of lexicographic constant-weight equidistant codes is performed. Tables with bounds on the size of lexicographic constant-weight equidistant codes are presented.
基金supported in part by National Nature Science Foundation of China under Grant No.61471286,No.61271004the Fundamental Research Funds for the Central Universitiesthe open research fund of Key Laboratory of Information Coding and Transmission,Southwest Jiaotong University(No.2010-03)
文摘Decoding by alternating direction method of multipliers(ADMM) is a promising linear programming decoder for low-density parity-check(LDPC) codes. In this paper, we propose a two-step scheme to lower the error floor of LDPC codes with ADMM penalized decoder.For the undetected errors that cannot be avoided at the decoder side, we modify the code structure slightly to eliminate low-weight code words. For the detected errors induced by small error-prone structures, we propose a post-processing method for the ADMM penalized decoder. Simulation results show that the error floor can be reduced significantly over three illustrated LDPC codes by the proposed two-step scheme.
文摘介绍用于光纤通信的速率为2.5 G b/s的高速RS(255,239)译码器设计。对输入信号中可能出现的超出译码器纠错能力的误码可进行检测判断,保证了误码不扩散。对译码器中大量使用的有限域乘法器进行了优化设计,尤其对并行钱氏搜索电路中的乘法器采用了按组优化设计方法,与直接实现方法相比,复杂度降低了45%。该RS译码器已用FPGA进行了功能验证,并用TSM C 0.18μm CM O S工艺实现,Synopsys综合后的仿真结果表明译码器电路时钟工作频率达到了330 MH z。
