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Regular Hadamard matrix, maximum excess and SBIBD. (English) Zbl 1027.05009
The authors construct new symmetric balanced incomplete block designs with parameters $$v = 4(u^2)$$, $$k = 2(u^2)+u$$, $$\lambda = (u^2)+u$$, for many values of $$u.$$

##### MSC:
 05B05 Combinatorial aspects of block designs 05B20 Combinatorial aspects of matrices (incidence, Hadamard, etc.) 62K10 Statistical block designs
##### Keywords:
Abelian group; difference set