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黄石理工学院数理学院
纸质出版：2010
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刘修生. 卡氏积码的MDR码和自对偶码[J]. 通信学报, 2010,31(3):123-125.
LIU Xiu-sheng. MDR codes and self-dual codes on Cartesian product codes[J]. 2010, 31(3): 123-125.
刘修生. 卡氏积码的MDR码和自对偶码[J]. 通信学报, 2010,31(3):123-125. DOI：
LIU Xiu-sheng. MDR codes and self-dual codes on Cartesian product codes[J]. 2010, 31(3): 123-125. DOI：
定义了12
ZrZrZrs上线性码C1
C2
Cs的卡氏积码。利用子模同构定理
研究了在Zr1×Zr2××Zrs上卡氏积码C1×C2××Cs的秩与在12
ZrZrZrs码C1
Cs的秩的关系
借助这一关系
得到了MDR码的卡氏积仍为MDR码和自对偶码的卡氏积码也为自对偶码。
A Cartesian product code of the linear codes C1
C s in 1
Z r Z rs was defined. According to the theorem of submodulo isomorphism
the relationship between the rank of the Cartesian product code C1 × C 2 × × Cs over Z r1 × Z r2 × × Zrsand C1
C 2
C scodes overZ r1 × Z r2 × × Zrs were studied. Furthermore
it can include that Cartesian product code of MDS codes is MDR code
and so do the self -dual.
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