基于QR码的特点和伴随式的重量,给出了二进制QR码的一个新的简化查表译码算法。译码表的行是形如(e,eH)的向量,其中e是错误仅出现在信息部分且错误个数不超过码的纠错能力一半的错误模式,eH是P的伴随式。该算法适用于所有的二进制QR码。其译码表的行数在目前已知的二进制QR码的查表译码算法中是最小的。因此该算法不仅有一定的理论意义,也有一定的实用价值。
A new simplified table lookup algorithm for decoding binary QR codes is presented. The algorithm is based on the properties of QR codes and the weights of syndromes. The decoding table is composed of the vectors of the form (e,eH), where e is an error pattern, of which the error bits are located only in the information part and the number of errors is no more than half of the error-correcting capability of the code, and ell is the syndrome of e. The algorithm can be applied to decoding any binary QR code. Moreover, the number of rows of the lookup table in this algorithm is the smallest one among all known lookup table decoding algorithms for binary QR codes. So this algorithm not only has certain theoretical significance, but also has certain practical value.