52 search results - page 1 / 11 » Binary codes from the line graph of the n-cube |
JSC
2010
13 years 3 months ago
2010
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...
DM
2007
13 years 4 months ago
2007
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...
DCC
2004
IEEE
14 years 4 months ago
2004
IEEE
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...
EJC
2007
13 years 4 months ago
2007
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...
ARSCOM
2006
13 years 4 months ago
2006
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...