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用Hadamard矩阵构造线性码 被引量:3

Constructing linear codes by Hadamard matrices
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摘要 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 anti- symmetric Hadamard matrices, we construct a class of binary self-dual linear error-correcting codes and a class of ternary self-dual linear error-correcting codes.
出处 《四川大学学报(自然科学版)》 CAS CSCD 北大核心 2015年第6期1221-1224,共4页 Journal of Sichuan University(Natural Science Edition)
基金 重庆市教委科研项目(KJ15012004) 长江师范学院引进人才科研启动项目(2014KYQD04) 涪陵区科技计划项目(FLKJ2015ABA1031) 国家自然科学基金(U1504105,11501387)
关键词 HADAMARD矩阵 线性码 自对偶码 Hadamard matrix Linear codes Self-dual codes.
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