Harmonic Index Designs in Binary Hamming Schemes
| Autor: | Takuya Ikuta, Etsuko Bannai, Yan Zhu, Eiichi Bannai, Kyoung-Tark Kim |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Discrete mathematics
Linear programming 010102 general mathematics Binary number 0102 computer and information sciences 01 natural sciences Theoretical Computer Science Combinatorics Association scheme Hamming graph 010201 computation theory & mathematics Discrete Mathematics and Combinatorics Hamming(7 4) 0101 mathematics Hamming weight Hamming code Commutative property Mathematics |
| Zdroj: | Graphs and Combinatorics. 33:1405-1418 |
| ISSN: | 1435-5914 0911-0119 |
| Popis: | We recall the “addition formula” for a commutative association scheme. From this formula we construct a linear programming for the size of harmonic index designs and define the notion of tight designs using Fisher type inequality. We examine the existence of tight harmonic index T-designs for some T in binary Hamming association schemes H(d, 2). |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|