Computer Engineering and Applications ›› 2011, Vol. 47 ›› Issue (16): 38-39.
• 研究、探讨 • Previous Articles Next Articles
CHEN Gang,LI Ruihu
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陈 刚,李瑞虎
Abstract: Self-orthogonal codes belong to linear codes with great importance,which are the basis of constructing quantum codes.The construction of self-orthogonal codes with dual distance 3 is investigated over the ternary field F3.For two kinds of codes’ length n,recursive and combinational methods are used to construct 3-ary self-orthogonal codes.Using self-orthogonal codes obtained,3-ary quantum codes with distance 3 can be constructd,which have good parameters.
Key words: ternary field F3, self-orthogonal code, dual distance
摘要: 自正交码是一类特别重要的线性码,是构造量子码的基础。研究了三元域F3上对偶距离为3的自正交码的构造。对两类码长n,用递归和组合的方法构造出对偶距离为3的三元自正交码。依据所得到的自正交码构造距离为3的三元量子码,所得到的量子码具有很好的参数。
关键词: 3元域, 自正交码, 对偶距离
CHEN Gang,LI Ruihu. Construction of self-orthogonal codes with dual distance three on ternary filed[J]. Computer Engineering and Applications, 2011, 47(16): 38-39.
陈 刚,李瑞虎. 三元域上对偶距离为3的自正交码构造[J]. 计算机工程与应用, 2011, 47(16): 38-39.
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