Three-class association schemes from cyclotomy
Combinatorics
2012-11-14 v1
Abstract
We give three constructions of three-class association schemes as fusion schemes of the cyclotomic scheme, two of which are primitive
Cite
@article{arxiv.1211.2864,
title = {Three-class association schemes from cyclotomy},
author = {Tao Feng and Koji Momihara},
journal= {arXiv preprint arXiv:1211.2864},
year = {2012}
}
Comments
12 pages
Related papers
View all related →
Combinatorics · Mathematics
Four-class Skew-symmetric Association Schemes
Jianmin Ma, Kaishun Wang
2011-07-05
Combinatorics · Mathematics
Association schemes all of whose symmetric fusion schemes are integral
Mitsugu Hirasaka, Kijung Kim, Semin Oh
2017-05-02
Combinatorics · Mathematics
Pseudocyclic and non-amorphic fusion schemes of the cyclotomic association schemes
Tao Feng, Fan Wu, Qing Xiang
2011-10-07
Combinatorics · Mathematics
Association Scheme on Triples from the Unitary Group
Jose Maria P. Balmaceda, Dom Vito A. Briones, Joris Buloron
2025-12-01
Combinatorics · Mathematics
Spherical embeddings of symmetric association schemes in 3-dimensional Euclidean space
Eiichi Bannai, Da Zhao
2017-10-03
Combinatorics · Mathematics
Nonsymmetric primitive translation schemes on prime power number of vertices
Tao Feng, Koji Momihara
2013-05-14
Combinatorics · Mathematics
Pseudocyclic association schemes and strongly regular graphs
Akihiro Munemasa, Takuya Ikuta
2017-10-20
Combinatorics · Mathematics
Association schemes related to Delsarte-Goethals codes
Tao Feng, Gennian Ge, Sihuang Hu
2016-06-06
Combinatorics · Mathematics
The association scheme on the set of flags of a finite generalized quadrangle
Francesco Colangelo, Giusy Monzillo, Alessandro Siciliano
2024-06-07
Combinatorics · Mathematics
Association schemes on triples over few vertices
Jose Maria P. Balmaceda, Dom Vito A. Briones
2022-02-21
Combinatorics · Mathematics
On few-class $Q$-polynomial association schemes: feasible parameters and nonexistence results
Alexander L. Gavrilyuk, Janoš Vidali, Jason S. Williford
2019-08-28
Combinatorics · Mathematics
Almost Difference Sets, Normally Regular Digraphs and Cyclotomic Schemes from Cyclotomy of Order Twelve
Kathleen Nowak, Oktay Olmez, Sung Y. Song
2013-10-16
Combinatorics · Mathematics
Association schemes on triples from affine special semilinear groups
Dom Vito A. Briones
2023-08-22
Combinatorics · Mathematics
Group-case commutative association schemes and their character tables
Sung Y. Song, Hajime Tanaka
2008-09-05
Combinatorics · Mathematics
On $Q$-polynomial association schemes of small class
Sho Suda
2012-02-28
Combinatorics · Mathematics
A survey on association schemes on triples
Jose Maria P. Balmaceda, Dom Vito A. Briones
2022-06-22
Combinatorics · Mathematics
Primitive weakly distance-regular circulant digraphs
Akihiro Munemasa, Kaishun Wang, Yuefeng Yang
2019-08-26
Combinatorics · Mathematics
On cyclotomic schemes over finite near-fields
J. Bagherian, Ilia Ponomarenko, A. Rahnamai Barghi
2010-12-27
Category Theory · Mathematics
Association schemes, classical RCFT's, and centres of monoidal functor categories
Brian Day
2011-08-15
Combinatorics · Mathematics
On circular-arc graphs with association schemes
Fatemeh Raei Barandagh, Amir Rahnamai Barghi
2015-01-27
Combinatorics · Mathematics
Links between orthogonal arrays, association schemes and partial geometric designs
Kathleen Nowak, Oktay Olmez, Sung Y. Song
2015-01-09
Combinatorics · Mathematics
Partially metric association schemes with a multiplicity three
Edwin R. van Dam, Jack H. Koolen, Jongyook Park
2017-01-13
Combinatorics · Mathematics
Association schemes and Hypergroups
Jaiung Jun
2017-04-24
Combinatorics · Mathematics
Nonexistence of Certain Skew-symmetric Amorphous Association Schemes
Jianmin Ma
2010-12-06
Combinatorics · Mathematics
A matrix equation for association schemes
Laura M. Chihara, Dennis W. Stanton
2016-09-06