Geometriae Dedicata

, Volume 14, Issue 3, pp 293-301

First online:

On t-distance sets of (0, ±1)-vectors

  • M. DezaAffiliated with
  • , P. FranklAffiliated with

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We consider sets of (0, +1)-vectors in R n, having exactly s non-zero positions. In some cases we give best or nearly best possible bounds for the maximal number of such vectors if all the pairwise scalar products belong to a fixed set D of integers. The investigated cases include D={ -d, d}, which corresponds to equiangular lines.