增加捕错窗口长度的译码法

The Error-Trapping Decoding of Increasing the Window-Length

当不是ｇ（ｘ）的因子，ｇ（ｘ）和ａ（ｘ）ｇ（ｘ）分别是二元线性循环码Ｃ（ｘ）和Ｃｓｕｂ（ｘ）的生成多项式时，则Ｃｓｕｂ（ｘ）是Ｃ（ｘ）的子码。恰当选用Ｃ（ｘ）／Ｃｓｕｂ（ｘ）的２ｊ个余式将Ｃ（ｘ）转换为子码，然后对子码捕错；当错误矢量Ｅ（ｘ）的重量Ｗ（Ｅ）ｔ，且有连续ｋ－ｊ位为零时，就能正确译码。该法提高了纠错能力，还可分类译码输出，结构简单，实现容易。

Assume that is not an irreducible factor of g(x),g(x) and a(x)g(x) are generator polynomials of linear cyclic codes,C(x) and Cub(x),over GF(2) respectively,then Csub(x) is a subcode of the C(x).Selecting 2j redundant factories of the C(x)/Csub(x) properly,transfering C(x) into subcode form and error-trapping decoding for them,the decoding process can be performed correctly only if the weight,W(E),of the error vector E(x), is not larger than t and there exist k-j consecutive zeros.This decoding technique not only improve the error correcting ability but also can get the output of the sorting decoding form with easy implementation.