List decoding of matrix-product codes from nested codes: An application to quasi-cyclic codes

Hernando F.; Hoholdt T.; Ruano D.

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List decoding of matrix-product codes from nested codes: An application to quasi-cyclic codes

机译：列出嵌套代码的矩阵 - 产品代码的解码：用于准循环码的应用程序

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摘要

A list decoding algorithm for matrix-product codes is provided when C 1;:::;C s are nested linear codes and A is a non-singular by columns matrix. We estimate the probability of getting more than one codeword as output when the constituent codes are Reed-Solomon codes. We extend this list decoding algorithm for matrix-product codes with polynomial units, which are quasi-cyclic codes. Furthermore, it allows us to consider unique decoding for matrix-product codes with polynomial units.

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来源
《Advances in mathematics of communications》 |2013年第3期|共14页
作者
Hernando F.; Hoholdt T.; Ruano D.;
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作者单位

Department of Mathematics Universidad Jaume I Campus Riu Sec 12071 Castellón de la plana Spain;

DTU-Mathematics Technical University of Denmark Matematiktorvet Building 303 2800 Kgs. Lyngby Denmark;

Department of Mathematical Sciences Aalborg University Fr. Bajersvej 7G 9920-Aalborg ?st Denmark;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Linear code; List decoding; Matrix-product code; Quasi-cyclic code;

机译：线性代码;列表解码;矩阵 - 产品代码;准循环代码;

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9. Improved burst error correction via list decoding quasi-cyclic codes [C] . Zeh Alexander, Roth Ron M. IEEE International Symposium on Information Theory . 2015

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机译：从嵌套代码列出矩阵 - 产品代码的解码：准循环代码的应用*
13. Algebraic Structure of Convolutional Codes with Application to Code Construction and Decoding [R] . Reed, I. S. 1984

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List decoding of matrix-product codes from nested codes: An application to quasi-cyclic codes

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