On tight $4$-designs in Hamming association schemes

Autor:	Gavrilyuk, Alexander, Suda, Sho, Vidali, Janoš
Rok vydání:	2018
Předmět:	Mathematics - Combinatorics 05E30 (Primary) 05B15 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We complete the classification of tight $4$-designs in Hamming association schemes $H(n,q)$, i.e., that of tight orthogonal arrays of strength $4$, which had been open since a result by Noda (1979). To do so, we construct an association scheme attached to a tight $4$-design in $H(n,q)$ and analyze its triple intersection numbers to conclude the non-existence in all open cases.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1809.07553 Zobrazit plný text záznamu View this record from Arxiv