基于三个自对偶码的S-链和量子码构造  

Construction of S-chains and quantum codes based on three self-dual codes

作　　者：贺筱军[1] 郭罗斌[1] 李瑞虎[1] 

机构地区：[1]空军工程大学理学院,西安710051

出　　处：《计算机工程与应用》2009年第6期46-47,51,共3页Computer Engineering and Applications

基　　金：国家自然科学基金;空军工程大学理学院基金~~

摘　　要：用随机搜索算法和典型群理论,研究了双循环形自对偶码D3,D4和D5的对偶距离d⊥满足3≤d⊥≤7的子码,确立了这些子码构成的自正交子码链及它们的对偶构成的S-链。利用得到的S-链,由Steane构造法构造出新的量子纠错码。By using of a random searching algorithm and classical group theory,the subcodes which dual distance between 3 and 7 of three double circulant self-dual codes D3,D4 and D5 are studied.The relation of these subcodes and the subcode chains of these self-orthogonal codes are determined,and the S-chains deduced from these self-orthogonal codes are also presented.According to Steane＇s construction and the S-chains obtained,some new quantum codes with good parameters are constructed.

关 键 词：自正交码 码链 量子纠错码 

分 类 号：O157.4[理学—数学] TN919.3[理学—基础数学]