We examine designs and binary codes associated with the line graph of the n-cube Qn, i.e. the Hamming graph H(n, 2). We find the automorphism groups and the parameters of the cod...
The binary codes of the line graphs Lm(n) of the complete multipartite graphs Kn1,...,nm (ni = n for 1 ≤ i ≤ m) n ≥ 2, m ≥ 3 are examined, and PD-sets and s-PD-sets are fo...
We study sets of lines of AG(n, q) and PG(n, q) with the property that no three lines form a triangle. As a result the associated point-line incidence graph contains no 6-cycles a...
We examine the binary codes obtained from the row span over the field F2 of an adjacency matrix of the rectangular lattice graphs L2(m, n) for 3 ≤ m < n and show that permut...
We show that permutation decoding can be used, and give explicit PD-sets in the symmetric group, for some of the binary codes obtained from the adjacency matrices of the graphs on...
Jennifer D. Key, Jamshid Moori, Bernardo Gabriel R...