Chinese Quarterly Journal of Mathematics ›› 2015, Vol. 30 ›› Issue (3): 389-407.doi: 10.13371/j.cnki.chin.q.j.m.2015.03.010

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Tight Relative 6-designs on Binary Hamming Association Schemes

  

  1. 1. Mathematics and Information College, Langfang Teachers University2. Mathematics and Information College, Hebei Normal University3. Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College
  • Received:2013-10-30 Online:2015-09-30 Published:2020-11-20
  • About author:LI Zeng-ti(1964-), male, native of Cangxian, Hebei, a professor of Langfang Teachers University, Ph.D., engages in algebra and combinatorics.
  • Supported by:
    Supported by the Natural Science Foundation of Hebei Province(A2013408009); Supported 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);

Abstract: 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).

Key words: association scheme, relative t-design, Hamming association scheme

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