A Block Negacyclic Bush-Type Hadamard Matrix and Two Strongly Regular Graphs (CROSBI ID 118778)
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Podaci o odgovornosti
Janko, Zvonimir ; Kharaghani, Hadi
engleski
A Block Negacyclic Bush-Type Hadamard Matrix and Two Strongly Regular Graphs
A block negacyclic Bush-type Hadamard matrix of order 36 is used in a symmetric BGW(26, 25, 24) with zero diagonal over a cyclic group of order 12 to construct a twin strongly regular graph with parameters v=936, k=375, lambda=mi=150 whose points can be partitioned in 26 cocliques of size 36. The same Hadamard matrix then is used in symmetric BGW(50, 49, 48) with zero diagonal over a cyclic group of order 12 to construct a Siamese twin strongly regular graph with parameters v=1800, k=1029, lambda=mi=588.
symmetric design ; Bush-type Hadamard matrix ; strongly regular graph ; block negacyclic matrix ; balanced generalized weighing matrix.
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Podaci o izdanju
98 (1)
2002.
118-126
objavljeno
0097-3165
10.1006/jcta.2001.3231