A NEW CLASS OF LINEAR CODES WITH TWO-LEVEL STRUCTURE  

A NEW CLASS OF LINEAR CODES WITH TWO-LEVEL STRUCTURE

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作  者:Wang Haiyan (Dept. of Educational Communication and Technology, Shanxi Normal Univ., Xi’an 710062) 

出  处:《Journal of Electronics(China)》2000年第1期90-93,共4页电子科学学刊(英文版)

摘  要:The binary extended Golay code has a two-level structure, which can be used in the decoding of the code. However, such structure is not limited to the Golay code, in fact, several binary linear codes can be constructed by a projective method which is related to the structure. In this correspondence, the binary (4n,n + 2k, ≥min(8, n,2d)) linear codes are resulted from quaternary (n,k,d) linear block codes. Based on the structure, the efficient maximum likelihood decoding algorithms can be presented correspondingly for the derived codes.The binary extended Golay code has a two-level structure, which can be used in the decoding of the code. However, such structure is not limited to the Golay code, in fact, several binary linear codes can be constructed by a projective method which is related to the structure. In this correspondence, the binary (4n,n + 2k, ≥min(8, n,2d)) linear codes are resulted from quaternary (n,k,d) linear block codes. Based on the structure, the efficient maximum likelihood decoding algorithms can be presented correspondingly for the derived codes.

关 键 词:LINEAR CODE TWO-LEVEL STRUCTURE GOLAY CODE 

分 类 号:TN911[电子电信—通信与信息系统]

 

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