A construction of group divisible designs with block sizes 3 to 7
| Autor: | Chia-an Liu, Yaotsu Chang, Chong-Dao Lee |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Discrete mathematics
Conjecture Group (mathematics) Applied Mathematics Block (permutation group theory) Binary number 020206 networking & telecommunications 0102 computer and information sciences 02 engineering and technology Extension (predicate logic) 01 natural sciences Computer Science Applications Quadratic residue Combinatorics Finite field 010201 computation theory & mathematics 0202 electrical engineering electronic engineering information engineering Decoding methods Mathematics |
| Zdroj: | Designs, Codes and Cryptography. 86:1281-1293 |
| ISSN: | 1573-7586 0925-1022 |
| DOI: | 10.1007/s10623-017-0395-8 |
| Popis: | This paper gives a construction of group divisible designs (GDDs) on the binary extension fields with block sizes 3, 4, 5, 6, and 7, respectively, which consist of the error patterns whose first syndromes are zeros recognized from the decoding of binary quadratic residue codes. A conjecture is proposed for this construction of GDDs with larger block sizes. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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