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Pure Latin directed triple systems

Publication at Faculty of Mathematics and Physics |
2015

Abstract

A directed triple system (DTS) is said to be pure if when considered as a twofold triple system it contains no repeated blocks. The paper completely describes the spectrum of nonflexible pure latin DTS.

The spectrum of flexible pure latin DTS is described up to the orders 24, 30, 42, 78, 114 and 150.