An infinite Family of Non-embeddable Hadamard Designs

The parameters 2 - (2 + 2, + 1, ) are those of a residual Hadamard 2 (4 + 3, 2 + 1, ) design. All 2 - (2 + 2, + 1, ) designs with 4 are embeddable. The existence of non-embeddable Hadamard 2-designs has been determined for the cases = 5, = 6, and = 7. In this paper the existence of an infinite family of non-embeddable 2 - (2 + 2, + 1, ) designs, = 3(2m) - 1, m 1 is established. Mathematical Reviews Subject Number: 05B05 Dedicated to the memory of George Mackenzie

• Type: Journal
• Year: 1999
• Where: COMBINATORICS
• Authors: Kirsten Mackenzie-Fleming
• Keywords: COMBINATORICS 1999, Designs, Non-embeddable Hadamard 2-designs, Residual Hadamard