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Hadamard matrices, sequences, and block designs. (English) Zbl 0776.05028
Contemporary 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.

##### MSC:
 05B20 Matrices (incidence, Hadamard, etc.) 05B05 Block designs (combinatorics) 05-02 Research monographs (combinatorics)