, Volume 1, Issue 3, pp 225-231

Every large set of equidistant (0, +1, −1)-vectors forms a sunflower

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Abstract

A theorem of Deza asserts that ifH 1, ...,H m ares-sets any pair of which intersects in exactlyd elements and ifms 2s+2, then theH i form aΔ-system, i.e. \(\left| {\bigcap\limits_{i = 1}^m {H_i } } \right| = d\) . In other words, every large equidistant (0, 1)-code of constant weight is trivial. We give a (0, +1, −1) analogue of this theorem.