Title of article
A Block Negacyclic Bush-Type Hadamard Matrix and Two Strongly Regular Graphs
Author/Authors
Janko، نويسنده , , Zvonimir and Kharaghani، نويسنده , , Hadi، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2002
Pages
9
From page
118
To page
126
Abstract
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, λ=μ=150 whose points can be partitioned in 26 cocliques of size 36. The same Hadamard matrix then is used in a 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, λ=μ=588.
Keywords
block negacyclic matrix , balanced generalized weighing matrix , Symmetric design , Bush-type Hadamard matrix , Strongly regular graph
Journal title
Journal of Combinatorial Theory Series A
Serial Year
2002
Journal title
Journal of Combinatorial Theory Series A
Record number
1530699
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