电子与信息学报
電子與信息學報
전자여신식학보
JOURNAL OF ELECTRONICS & INFORMATION TECHNOLOGY
2014年
6期
1419-1422
,共4页
余海峰%朱士信%张霞
餘海峰%硃士信%張霞
여해봉%주사신%장하
循环码%(1+uv)-循环码%Gray映射%准循环码
循環碼%(1+uv)-循環碼%Gray映射%準循環碼
순배마%(1+uv)-순배마%Gray영사%준순배마
Cyclic codes%(1+uv)-cyclic code%Gray map%Quasi-cyclic code
该文定义了有限非链环环码的关系，证明了此环上(1+uv)-循环码在关于齐次重量的等距Gray映射fhom下的二元象是一个长为8n的4-准循环码，并由此映射得到了一些好的二元线性准循环码。
該文定義瞭有限非鏈環環碼的關繫，證明瞭此環上(1+uv)-循環碼在關于齊次重量的等距Gray映射fhom下的二元象是一箇長為8n的4-準循環碼，併由此映射得到瞭一些好的二元線性準循環碼。
해문정의료유한비련배배마적관계，증명료차배상(1+uv)-순배마재관우제차중량적등거Gray영사fhom하적이원상시일개장위8n적4-준순배마，병유차영사득도료일사호적이원선성준순배마。
(1+uv)-cyclic codes over F2+uF2+vF2+uvF2 is defined, and the relations between (1+uv)-cyclic codes and cyclic codes is discussed. It is proved that the binary image on isometric Gray map ?hom of a (1+uv)-cyclic code of length n over R is a linear quasi-cyclic code of index 4 and of length 8n. Furthermore, some optimal binary linear quasi-cyclic codes are obtained.
