Bush‐type Hadamard matrices and symmetric designs

Document Type

Article

Publication Date

1-2001

Abstract

A symmetric 2‐(100, 45, 20) design is constructed that admits a tactical decomposition into 10 point and block classes of size 10 such that every point is in either 0 or 5 blocks from a given block class, and every block contains either 0 or 5 points from a given point class. This design yields a Bush‐type Hadamard matrix of order 100 that leads to two new infinite classes of symmetric designs with parameters and where m is an arbitrary positive integer. Similarly, a Bush‐type Hadamard matrix of order 36 is constructed and used for the construction of an infinite family of designs with parameters and a second infinite family of designs with parameters where mis any positive integer.

Publisher's Statement

© 2000 John Wiley & Sons, Inc. Publisher’s version of record: https://onlinelibrary.wiley.com/doi/abs/10.1002/1520-6610%282001%299%3A1%3C72%3A%3AAID-JCD6%3E3.0.CO%3B2-M

Publication Title

Journal of Combinatorial Designs

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