An infinite family of non-embeddable Hadamard designs
The electronic journal of combinatorics, Tome 6 (1999)
The parameters $2$ - $(2\lambda+2,\lambda+1,\lambda)$ are those of a residual Hadamard $2$ - $(4\lambda+3,2\lambda+1,\lambda)$ design. All $2$ - $(2\lambda+2,\lambda+1,\lambda)$ designs with $\lambda \le 4$ are embeddable. The existence of non-embeddable Hadamard $2$-designs has been determined for the cases $\lambda = 5$, $\lambda = 6$, and $\lambda = 7$. In this paper the existence of an infinite family of non-embeddable $2$ - $(2\lambda+2,\lambda+1,\lambda)$ designs, $\lambda = 3(2^m) - 1, m \ge 1$ is established.
@article{10_37236_1456,
author = {K. Mackenzie-Fleming},
title = {An infinite family of non-embeddable {Hadamard} designs},
journal = {The electronic journal of combinatorics},
year = {1999},
volume = {6},
doi = {10.37236/1456},
zbl = {0923.05009},
url = {http://geodesic.mathdoc.fr/articles/10.37236/1456/}
}
K. Mackenzie-Fleming. An infinite family of non-embeddable Hadamard designs. The electronic journal of combinatorics, Tome 6 (1999). doi: 10.37236/1456
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