Tight Relative 6-designs on Binary Hamming Association Schemes  

Tight Relative 6-designs on Binary Hamming Association Schemes

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作  者:李增提 高锁刚 冯光辉 

机构地区:[1]Mathematics and Information College, Langfang Teachers University [2]Mathematics and Information College, Hebei Normal University [3]Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College

出  处:《Chinese Quarterly Journal of Mathematics》2015年第3期389-407,共19页数学季刊(英文版)

基  金:Supported by the Natural Science Foundation of Hebei Province(A2013408009); Sup- ported by the Specialized Research Fund for the Doctoral Program of Higher Education(20121303110005); Supported by the Natural Science Foundation of Hebei Education Department(ZH2012082); Supported by the Foundation of Langfang Teachers University(LSBS201205)

摘  要:The concept of relative t-designs for Q-polynomial association schemes is due to Delsarte(Philips Res Rep 32: 373C411, 1997). In this paper, we discuss the Fisher type lower bounds of tight relative 6-designs very explicitly for binary Hamming association schemes H(n, 2).The concept of relative t-designs for Q-polynomial association schemes is due to Delsarte(Philips Res Rep 32: 373C411, 1997). In this paper, we discuss the Fisher type lower bounds of tight relative 6-designs very explicitly for binary Hamming association schemes H(n, 2).

关 键 词:ASSOCIATION SCHEME RELATIVE T-DESIGN Hamming ASSOCIATION SCHEME 

分 类 号:O157[理学—数学]

 

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