Hadamard matrices, sequences, and block designs.

*(English)*Zbl 0776.05028Contemporary design theory, Collect. Surv., 431-560 (1992).

[For the entire collection see Zbl 0746.00028.]

In the paper the analysis of Hadamard matrix construction methods is given in three directions: (i) multiplication theorems, (ii) “plug-in” methods, (iii) direct constructions. The paper consists of 11 sections and the main results obtained by these three directions are given. Orthogonal designs, sequences, skew-Hadamard matrices, $M$-structures, Williamson type matrices, SBIBD and complex Hadamard matrices are dealt with. At the end of the work the orders of known matrices of Williamson type and Hadamard matrices are given.

Reviewer: S.S.Agayan (Erevan)

##### MSC:

05B20 | Matrices (incidence, Hadamard, etc.) |

05B05 | Block designs (combinatorics) |

05-02 | Research monographs (combinatorics) |