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本文简明地介绍了二次剩余码(QR码)的基本概念、编码原理以及利用软件的编码方法,并画出了编码框图,从理论上详细地阐述了软件译码原理及利用分解—合成法求伴随式S(X)的方法,着重分析了各种情况下的错误图样与S(X)的关系,并给出了相对应的校正多项式U(X)。为说明上述原理的应用,以(47,23)码为例,作出了纠两个错同时检八个错的译码框图。另外,还利用软件结合码结构的特点提出了一种处理相位不确定问题的可行而有效的措施。本文介绍的译码方法也能用于其他循环码,不论用何种计算机和语言均能适应。
This paper briefly introduces the basic concepts of second-order residual code (QR code), coding principle and the use of software coding methods, and draw the coding block diagram, elaborates the theory of software decoding in detail and the use of decomposition - synthesis In this method, the relationship between the error pattern and S (X) in each case is emphatically analyzed and the corresponding correction polynomial U (X) is given. In order to illustrate the application of the above principle, taking the (47,23) code as an example, a decoding block diagram of correcting two errors while checking eight errors is made. In addition, a feasible and effective measure to deal with the problem of phase uncertainty is proposed by using the characteristics of software and code structure. This article describes the decoding method can also be used for other cyclic codes, no matter what kind of computer and language can adapt.