Certain dense partial S(t,t+1,v) designs admit labelings achieving the elementary lower bound on block-sum differences, and every admissible Steiner triple system S(2,3,v) admits a labeling within an additive constant of that bound.
Colo uring Steiner quadru- ple systems,
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Access Balancing in Storage Systems by Labeling Partial Steiner Systems
Certain dense partial S(t,t+1,v) designs admit labelings achieving the elementary lower bound on block-sum differences, and every admissible Steiner triple system S(2,3,v) admits a labeling within an additive constant of that bound.