Spread Construction for (36,15,6) Hadamard Difference Sets

Autor:	Smith, Ken, Webster, Jordan
Rok vydání:	2024
Předmět:	Mathematics - Combinatorics 05B10 (Primary) 05B05 05B20 (Secondary)
Druh dokumentu:	Working Paper
Popis:	There are exactly 35 inequivalent (36, 15, 6) difference sets in nine groups. Eight of the nine groups have a normal Sylow 3-subgroup. We give a straightforward spread construction which explains the 32 inequivalent difference sets in these eight groups. An interesting variation on this construction provides the three difference sets in the ninth group.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2402.08503 Zobrazit plný text záznamu View this record from Arxiv