This paper enumerates the isomorphism classes of association schemes of order 20–28 by
using the computer. It also classifies all the association schemes of order 24–28 whether …

Using a backtracking algorithm along with an essential change to the rows of
representatives of known 13 710 027 equivalence classes of Hadamard matrices of order …

The isomorphism classes of association schemes with 18 and 19 vertices are classified. We
obtain 95 isomorphism classes of association schemes with 18 vertices and denote the …

For a few decades the smallest known non-Schurian coherent configuration was the
association scheme on 15 points, coming from a doubly regular tournament. Last year the …

In this paper we illuminate some algebraic-combinatorial structure underlying the second
order networks (SONETS) random graph model of Zhao, Beverlin, Netoff and Nykamp and …

Linear Algebra and its Applications Page 1 Linear Algebra and its Applications 430 (2009)
747–755 Contents lists available at ScienceDirect Linear Algebra and its Applications journal …

In this paper we classify complex Hadamard matrices contained in the Bose–Mesner
algebra of 3-class nonsymmetric association schemes. As a consequence of …

In this paper, we obtain classification results for higher-dimensional analogues of classical
association schemes called association schemes on triples (ASTs). We present an algorithm …

The subject of the present work is the application of the theory of combinatorial schemes to
problems in computational algebra. The principal notions of combinatorial schemes which …

In this paper, we classify all primitive association schemes of order up to 22 and all
commutative association schemes of order 23. All the schemes of order up to 19 have been …