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» Binary codes from the line graph of the n-cube
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JSC
2010
132views more  JSC 2010»
9 years 12 months ago
Binary codes from the line graph of the n-cube
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...
W. Fish, Jennifer D. Key, E. Mwambene
DM
2007
103views more  DM 2007»
10 years 1 months ago
Codes from the line graphs of complete multipartite graphs and PD-sets
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...
Jennifer D. Key, P. Seneviratne
DCC
2004
IEEE
11 years 1 months ago
LDPC Codes from Triangle-Free Line Sets
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...
Keith E. Mellinger
EJC
2007
10 years 1 months ago
Binary codes from rectangular lattice graphs and permutation decoding
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...
Jennifer D. Key, P. Seneviratne
ARSCOM
2006
91views more  ARSCOM 2006»
10 years 1 months ago
Binary codes from graphs on triples and permutation decoding
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...
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