A (49, 16, 3, 6) strongly regular graph does not exist
European Journal of Combinatorics
On pseudo-automorphisms and fusions of an association scheme
European Journal of Combinatorics
Amorphous association schemes over the Galois rings of characteristic 4
European Journal of Combinatorics
On a theorem of Ikuta, Ito and Munemasa
European Journal of Combinatorics
Some New Cyclotomic Strongly Regular Graphs
Journal of Algebraic Combinatorics: An International Journal
3-class association schemes and Hadamard matrices of a certain block
European Journal of Combinatorics
Cyclotomy and Strongly Regular Graphs
Journal of Algebraic Combinatorics: An International Journal
Three-Class Association Schemes
Journal of Algebraic Combinatorics: An International Journal
Fissions of classical self-dual association schemes
Journal of Combinatorial Theory Series A
Designs, Codes and Cryptography
The Search for Pseudo Orthogonal Latin Squares of OrderSix
Designs, Codes and Cryptography
A Characterization of Association Schemes from Affine Spaces
Designs, Codes and Cryptography
Strongly Regular Decompositions of the Complete Graph
Journal of Algebraic Combinatorics: An International Journal
A generalization of Wallis-Fon-Der-Flaass construction of strongly regular graphs
Journal of Algebraic Combinatorics: An International Journal
Designs, Codes and Cryptography
Amorphic association schemes with negative Latin square-type graphs
Finite Fields and Their Applications
Pseudocyclic association schemes and strongly regular graphs
European Journal of Combinatorics
The non-existence of certain skew-symmetric amorphous association schemes
European Journal of Combinatorics
Edge connectivity in difference graphs and some new constructions of partial sum families
European Journal of Combinatorics
Partial difference sets and amorphic group schemes from pseudo-quadratic bent functions
Journal of Algebraic Combinatorics: An International Journal
Constructions of strongly regular Cayley graphs using index four Gauss sums
Journal of Algebraic Combinatorics: An International Journal
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We give an overview of results on amorphic association schemes. We give the known constructions of such association schemes, and enumerate most such association schemes on up to 49 vertices. Special attention is paid to cyclotomic association schemes. We give several results on when a strongly regular decomposition of the complete graph is an amorphic association scheme. This includes a new proof of the result that a decomposition of the complete graph into three strongly regular graphs is an amorphic association scheme, and the new result that a strongly regular decomposition of the complete graph for which the union of any two relations is again strongly regular must be an amorphic association scheme.