All 80 steiner triple systems on 15 elements are derived

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Abstract

We settle the remaining fourteen cases by exhibiting quadruple systems SQS(16) that contain the triple systems STS(15) in question and briefly describe the techniques used to construct these systems. We also state some further computational results that we obtained as a by-product. © 1985 Elsevier Science Publishers B.V.

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Diener, I., Schmitt, E., & de Vries, H. L. (1985). All 80 steiner triple systems on 15 elements are derived. Discrete Mathematics, 55(1), 13–19. https://doi.org/10.1016/S0012-365X(85)80017-0

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