二元Hamming结合方案的紧相对6-设计

李增提, 高锁刚, 冯光辉

doi:10.13371/j.cnki.chin.q.j.m.2015.03.010

数学季刊 >

2015 , Vol. 30 >Issue 3: 389 - 407

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2015.03.010

二元Hamming结合方案的紧相对6-设计

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1. Mathematics and Information College, Langfang Teachers University2. Mathematics and Information College, Hebei Normal University3. Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College

LI Zeng-ti(1964-), male, native of Cangxian, Hebei, a professor of Langfang Teachers University, Ph.D., engages in algebra and combinatorics.

收稿日期: 2013-10-30

网络出版日期: 2020-11-20

基金资助

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)；

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Tight Relative 6-designs on Binary Hamming Association Schemes

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1. Mathematics and Information College, Langfang Teachers University2. Mathematics and Information College, Hebei Normal University3. Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College

LI Zeng-ti(1964-), male, native of Cangxian, Hebei, a professor of Langfang Teachers University, Ph.D., engages in algebra and combinatorics.

Received date: 2013-10-30

Online published: 2020-11-20

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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）.

关键词： association scheme; relative t-design; Hamming association scheme

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李增提, 高锁刚, 冯光辉 . 二元Hamming结合方案的紧相对6-设计[J]. 数学季刊, 2015 , 30(3) : 389 -407 . DOI: 10.13371/j.cnki.chin.q.j.m.2015.03.010

Abstract

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

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