Z_4上长为2~s的负循环码的符号对距离

Symbol-pair distance of negacyclic codes over Z_4 of length 2~s

符号对码是随着信息技术发展而产生的一种新型纠错码,它能对符号对读信道中符号对信息进行保护,符号对距离是衡量符号对码纠错能力的一个重要参数。文章利用Z_4上长为2~s的负循环码的结构和汉明距离,确立了Z_4上长为2~s的所有负循环码的符号对距离,给出了Z_4上长为2~s的负循环码的符号对距离分布。

Symbol-pair codes are a new kind of error-correcting codes with the development of information technology, which can protect symbol-pair information over symbol-pair read channels. For any symbol-pair code, the symbol-pair distance is an important parameter for measuring its pair-error-correcting capability. In this paper, the symbol-pair distance of negacyclic codes over Z4 of length 2^s is studied. By using the structure and Hamming distance of such negacyclic codes, the symbol-pair distance of negacyclic codes over Z4 of length 2^s is completely determined, and their symbol-pair distance distribution is given.