二元Hamming结合方案的紧相对6-设计

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

数学季刊 ›› 2015, Vol. 30 ›› Issue (3): 389-407.doi: 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

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

收稿日期:2013-10-30 出版日期:2015-09-30 发布日期:2020-11-20
作者简介:LI Zeng-ti(1964-), male, native of Cangxian, Hebei, a professor of Langfang Teachers University, Ph.D., engages in algebra and combinatorics.
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)；

Tight Relative 6-designs on Binary Hamming Association Schemes

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)；

摘要/Abstract

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

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

中图分类号:

O174.14

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.

LI Zeng-ti, GAO Suo-gang, FENG Guang-hui. Tight Relative 6-designs on Binary Hamming Association Schemes[J]. Chinese Quarterly Journal of Mathematics, 2015, 30(3): 389-407.

[1]	张海良. 关于路与圈的匹配多项式的一个注记[J]. 数学季刊, 2018, 33(2): 140-143.
[2]	杨继真, 王云鹏. 一类包含有完全Bell多项式的恒等式[J]. 数学季刊, 2017, 32(4): 415-424.
[3]	卢健康, 陈海标, 敬瑞星. 求等差数列多项式函数值的快速并行算法[J]. 数学季刊, 2014, 29(4): 509-515.
[4]	杨继真, 王云鹏. 一类含有q-二项式系数倒数乘积的恒等式[J]. 数学季刊, 2014, 29(4): 573-582.
[5]	曹丽华, 赵毅. 基于切比雪夫节点的一类带显式系数的广义高斯求积公式[J]. 数学季刊, 2011, 26(2): 300-305.
[6]	雒秋明, 葛淑梅. 广义Bernoulli和Euler多项式之间关系的一些注记[J]. 数学季刊, 2010, 25(1): 16-22.
[7]	龚胜军, 李尚志. 三变量中的一类坐标多项式[J]. 数学季刊, 2006, 21(4): 482-487.
[8]	韩友发, 樊星, 赵岩. 状态模和两个变量的环链多项式[J]. 数学季刊, 2004, 19(4): 401-406.

二元Hamming结合方案的紧相对6-设计

Tight Relative 6-designs on Binary Hamming Association Schemes

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 8

编辑推荐

Metrics

本文评价