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-  2015 

用Hadamard矩阵构造线性码
Constructing linear codes by Hadamard matrices

Keywords: .Hadamard矩阵 线性码 自对偶码
.Hadamard matrix Linear codes Self dual codes.

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Abstract:

Hadamard矩阵在实验设计、编码、网络、逻辑电路等方面都有广泛的应用,并且通过多种方式可以构造Hadamard矩阵.本文主要利用反对称Hadamard矩阵构造出了一类二元和三元自对偶线性纠错码
Hadamard matrices has many applications in design of experiment, coding, network and logic circuit and there are also many ways to construct Hadamard matrices. In this paper, by using the antisymmetric Hadamard matrices, we construct a class of binary self dual linear error correcting codes and a class of ternary self dual linear error correcting code

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