Almost Difference Sets, Normally Regular Digraphs and Cyclotomic Schemes from Cyclotomy of Order Twelve

Autor:	Nowak, Kathleen, Olmez, Oktay, Song, Sung Y.
Rok vydání:	2013
Předmět:	Mathematics - Combinatorics 05B05 05E30
Druh dokumentu:	Working Paper
Popis:	Using cyclotomic classes of order twelve for certain finite fields, we construct an infinite family of almost difference sets and normally regular graphs applying the theory of cyclotomy. We show that in each of these fields neither the multiplicative cyclic subgroup $C$ of index twelve nor $C\cup \{0\}$ forms an almost difference set, but a union of cosets of $C$ provides us an almost difference set. We also calculate the intersection numbers and character tables of cyclotomic association schemes of class two, three and four obtained from these fields. Comment: This paper has been withdrawn by the author due to an error that needs to be fixed
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1310.1164 Zobrazit plný text záznamu View this record from Arxiv